Kathryn Plamondon wants to make $4$ equal annual deposits into an account earning $6\%$ in order to pay for negligence fees that are assumed to grow at $4\%$ per year into infinity. The first fee payment at $t=5$ should be $$6,500.$ How much does the deposit need to be$?$

a$.$ $$70,087\mathrm{.}01$

b$.$ $$74,292\mathrm{.}24$

c$.$ $$78,749\mathrm{.}77$

d$.$ $$68,823\mathrm{.}78$

e$.$ $$80,026\mathrm{.}71$