Run a battery 12V+, fused wire to 85. Connect the computer's fan output ground to 86. When the computer sends the ground signal, the coil in the relay is energized and it flips the switch (30, 87, 87a). When the relay is not energized, in your case, when the computer is not sending a ground output, pins 30 and 87 are connected. You won't put anything on 87. When the computer sends the ground signal, the coil will energize, and 30 will switch from 87 to 87a. 30 will be the heavy-duty ground, and 87a will be the heavy-duty ground to your fan.
I can't think of the term used to describe it, but pins 85 and 86 don't care which one is positive and which one is negative as long as one is + and the other =. I hope I'm not making this more confusing than it is.