My ceiling fan, at speed 5 also not rotating in full speed. I

The info at the provided link may help. Wiring Diagram For 3 Speed Ceiling Fan Switch

Check your capacitor to see if it's going bad. Also I would put the old switch back in case you got the wrong one. Just because it looks the same on the outside doesn't mean it's the same on the inside.

I never could find the 5 wire 4 speed replacement. I did however find a solution.
4-speed (five-wire) pull-chain ceiling fan speed switch--Use 3-speed ZE-208S6-A09.
How to use the 3-speed ZE-208S-A09 to replace a 4-speed switch:
old ZE-208S5-1T or ZE-268S5: . . . . . for ZE-208S6-A09 use:
L=Black . . . . . . . . . . . . . . . . . . . . . . . . L=Black
1=Gray . . . . . . . . . . . . . . . . . . . . . . . . 1=Gray
2=Brown . . . . . . . . . . . . . . . . . . . . . . . . (Don't use Brown)
3=Purple . . . . . . . . . . . . . . . . . . . . . . . 2=Purple
4=Green . . . . . . . . . . . . . . . . . . . . . . . . 3=Green
old ZE-208S5-1T or ZE-268S5: . . . . . For ZE-208S6-A09 use:
L=Black . . . . . . . . . . . . . . . . . . . . . . . . L=Black
1=Gray . . . . . . . . . . . . . . . . . . . . . . . . 1=Gray
2=Green . . . . . . . . . . . . . . . . . . . . . . . . (don't use Green)
3=Brown . . . . . . . . . . . . . . . . . . . . . . . . 2=Brown
4=Purple . . . . . . . . . . . . . . . . . . . . . . . 3=Purple

Testing old and new switches with multimeter is probably the best way to proceed.
Open following links for possible instructions and illustration:
http://waterheatertimer.org/How-to-wire-Cooper-277-pilot-light-switch.html#3-speed
http://www.fixya.com/support/t261326-3_speed_fan_switch
http://www.ceiling-fans-n-more.com/ceiling-fan-pullchain-replacement-and-repair.php

Hello. The most common configuration is L- white(hot) 1- Black(low) 2- Blue(med) 3- Yellow(high). Here's a link to some troubleshooting advice: http://www.ceiling-fans-n-more.com/ceiling-fan-pullchain-replacement-and-repair.php and a link to diagrams: http://www.hurontel.on.ca/~taitg/pages/cfan.html

Hope this helps, and don

Make and model number of the fan is a good start. Ceiling fan or desk or pole or?????

Given everything you've already checked, if you have power to the fan then it must be the fan itsselfl.

I would guess that the blades are on upside down. Ceiling fans are not supposed to work the same as desk fans though. The idea is not to create a strong flow of air but to create a "cooling breeze" by speeding the convection currents. They work better when they are running slowly (like you see in the old movies)

Try "oiling the fan" and also if that doesn't work, change the fan.

There's a rubber circle that is the damper between the blades and the motor shaft that rotates. The circle has spokes connecting the outer ring, which the blades screw into, to the inner ring which attaches to the shaft and holds it. If the spokes break you get the symptoms you describe, motor hums but no rotation, but blades can turn manually if you hand turn them them. If this is the case you need to remove and replace the blade mounting ring/damper. (About 25 bucks online)