Niendorf Inc. is considering Project S whose future expected cash flows are shown below. However, the up$-$front cost of the project $($X$)$ is not given. You are told that the project has a WACC of $8\%$ and that the project$$s NPV is zero. Based on this information, what is the up$-$front cost of the project, i$.$e$.,$ what is X$?$

WACC $=8\%$

Year: $01234$

CFS: X $$500$ $$730$ $$300$ $ $40$

a$.-$$$1,000\mathrm{.}00$

b$.-$$$1,126\mathrm{.}55$

c$.-$$$1,266\mathrm{.}50$

d$.-$$$1,356\mathrm{.}37$

e$.-$$$1,380\mathrm{.}31$