Well, assuming you've got the full 245W available on the 12V rail(s), it is cutting it close, but it may work.
CPU 51W + GPU 75W = 126W.
That leaves 119 W remaining for RAM, motherboard, hard drives, optical drives, fans.
I ran for a couple of years a 55W card on a Dell Inspiron 3647 Small Desktop without issue. That was a 220W PSU which had 216W available on the 12V rail as I recall. Haswell Pentium CPU, which is 53W.
I am not sure if there are replacements PSUs that will fit the Inspiron case - though I'm assuming you're using the small desktop rather than the mini tower.
Still, unless the PCIe x16 slot has a marking above or below it indicating a max power number less than 75W for the slot, it should be doable.
I'd feel more comfortable seeing a clear photo of the label on the PSU so we can verify the amount of power available on the 12V rail(s) though.