ViviCam 8400 digital camera software & manual disc won't go into my mac os x. How do I solve this problem

You can download the manual and request the Vivitar Experience software from the manufacturer's web site at
http://www.vivitar.com/products/1/digital-cameras/17/vivicam-8400

You might want to consider NOT connecting your camera to your computer. The best way to download pictures from your camera to your computer involves removing the memory card from the camera and plugging it into a card reader (either built-in to the computer or connected via USB or FireWire). This is likely to be faster than connecting the camera to the computer, and won't run down your camera's batteries.

Once the card is plugged in, it will appear to your computer as a removable drive. You can use the operating system's drag&drop facility to copy pictures from the card to the computer's hard drive, the same way you copy any other files. Or you can use iPhoto or any other other photo cataloging program.