|Is the first beep a long one?|
Be-e-e-e-e-p (then) beep,beep,beep?
Then its 1 long and three short. That's a memory failure for AMI bios:
Or are they all about the same? As in 1-3-3-1 sequence?
That's a '28 autosize dram' (whatever that is) for a phoenix bios.
I'm not sure which bios you have. But as already mentioned a video card probably won't fix it.
There may be more info in your emachine manual, if you have it. I checked on their site but it was worthless.
You're not really green until you're soylent green.