it is more accurate and easier to calculate to use enthalpies, especially when you go from liquid to vapor.
Also consider pressure is given in psig, which is gage pressure. Table values are absolute pressure.
I got 3297 or something like that.
It looks like you try to calculate energy required to heat up the water to boiling, and then to evaporate it (and then you should add heating up the steam even more). this gives you 3 equations to solve... good luck. Use the enthalpies from steam tables to rom the liquid low temp to vapor high temp state.
Let us know if you get stuck again.