I put water In the radiator of this vehicle I just bought and water just leaks right out from behind the fan pulley somewhere on the engine. I have checked the hoses and they're all good. Help!
from behind the fan pulley
That's where the thermostat housing is. You should check the hoses where they connect to the thermostat housing and check the housing itself. The water pump is also back there, there is a small weep-hole at the bottom of the water pump cover to let you know when it is time to change the pump. Check the entire water pump cover as well.
You need to get a flashlight and get in there and find the leak, nobody on this site can do that for you. The thermostat and water pump are good starting points.