Chad plans to make $4$ annual deposits of $$900$ each into an account earning $5\mathrm{.}5$ percent $($per year$)$ compounded quarterly. If the first deposit is made today and the last deposit is made at $t=3,$ how much will be in the account at $t=6$ if no more deposits were made after $t=3?$ Round to the nearest dollar.

a$.$ $$4367$

b$.$ $$4612$

c$.$ $$4588$

d$.$ $$7650$

e$.$ $$4934$