The red wire is +5v.
The black wires are ground.
The yellow wire is +12v.
What you effectively did was apply 12v to your 5v. Basically, anything on the 5v circuit could be fried, which would be the motherboard, cpu, ram. I would not swap parts out, as this can damage any good part you put in the bad motherboard. You may be lucky and the power supply may have burned out from the extra load, saving the rest of your computer.
Most computers will not start without a video signal, so you may want to at least put in the video card. It can't hurt. If any damage was done, it's already happened.
But, I agree with pointdablame, try a new PSU before scrapping everything else. If a new one acts like your old one, then I'd say the motherboard is toast, along with cpu and possibly ram. The cards may be okay, as components on the motherboard tend to short first.
Sorry for the bad news dude, but I've seen this kinda thing in electronics alot and it's usually messy.
Hope for the PSU!!