simple=better had it most of the way there, but it seems he didn't see your second post.
4536 watt-hrs / 48V = 94.5 amp-hours of storage required.
Deep-cycle batteries like to cycle between about 40% charge and 90% charge, so you need to spec out 2x the battery capacity of what you actually need, therefore 200 amp-hours of storage @ 48v to get 100 amp-hours of useful storage. Batteries are also complicated because the capacity depends on the discharge rate.
Looking here
http://www.trojanbattery.com/pdf/TRJN0156_GolfColl.pdf, the smallest set of 6V golf-cart batteries (T-605) would get you there. They are rated at 232 amp-hours at a 100 hour discharge rate, or 1360 watts per hour, which is 10x what you need. But, if you look at the chart, that same battery is only good for 175 amp-hours at a 5-hour discharge rate. You would of course need 8 batteries wired in series to get up to 48V.
As others have said, if you can keep all your loads @ 48V, that will help eliminate conversion losses. But if you have a battery pack with that kind of capacity, I would also install a modest size inverter (2kW) to use for emergencies and such.