Tess and Robert have accumulated $$750,000$ in their retirement account which pays $5\mathrm{.}75\%$ compounded monthly. They have contributed $$500$ to this account, every month for the past $28$ years. They began the account with a small inheritance that Tess received from her grandparents. How much $($to the nearest dollar$)$ did they put into the account to begin it$?$

$$25,657$

$$47,235$

$$54,893$

$$67,048$