No power to Outlet all electrical equipment works

Is the wire coming from the breaker box to the GFI outlet hot? If not, maybe it is broken/disconnected before it in the circuit.

If the wire to the GFI outlet IS hot, but you are not getting power to that outlet and/or no power past that outlet, the only three options are mis-wired outlet, a defective outlet, or something after the outlet that keeps tripping the GFI.