No power to our Cub Cadet LT1046

Are you sure it's blown? Run two jumper wires from the battery or power side of the starter solenoid and energize the clutch. If it energizes and clicks, that's eliminated. Did you blow any fuses?

Is the red light on before you engage the blade?

There may be a blown diode in the charging circuit.

Battery- If this light illuminates while the engine is
running, it indicates that the battery is in
need of a charge OR that the engine's
charging system is not generating sufficient
amperage. Refer to Battery on page 26 of
this manual for the properbattery charging
procedure or have theengine's charging
system checked by a Cub Cadet dealer.


http://www.cubcadet.info/Manuels/2005/Tracteurs/LT1042-LT1045-LT1046-LT1050-Owner.pdf

In case anyone has a 2014 Cub Cadet LTX 1050 KW and needs to know where the damned spring goes when it falls off when removing the belt keeper, here's a photo.

when a engine has factory electric start it will have a charging system but it is only a couple amps keep in mind a small mower battery is only good for a couple years

A lot of automotive parts stores will check a battery for free...
find your lowest amp rated (less than 10) and charge it over night.

Have battery load tested.

if good, place ammeter between battery and the rest of the tractor to check and see if load from running engine is draining or alternator isn't working.

or fast way to check an alternator on almost anything, start with battery, the pull off the negative (black) cable, if engine dies nothing is powering the engine but the battery (on an alternator driven electrical system, the battery is only used to start the engine)

check the safety switches

Bad switch maybe

Do you have 12volts dc to your starter when your solenoid clicks?
if not replace solenoid,if yes check starter next and then be sure engine is not siezed?

http://compare.ebay.com/cub-cadet-lt-1042-1045-1046-1050-gt-1222-service-manual/like/330478537005
There you go you better be quick though it closes in a couple of hours.
I can only find pay for ones, in any case so this maybe your best bet.