How much must you pull the rope if a force if 648 newtons is needed to lift a 1472 Newton desk 2.46 meters

648/1472 = 0.44

So, since you are exerting 0.44 the force, you must be using a pulley system so that the load moves 0.44 as far as your end of the rope.

That is, the work at your end and on the load are the same: force * distance.