Your friend must make a $$1,000$ charge on his credit card to pay for car repairs and can only make the minimum payment for the next $3$ months. Assume an APR of $15\mathrm{.}99\%$ and a required minimum payment of $5\%.$ What will the balance be at the start of month $4?$ Round your answer to the nearest cent. Remember, a finance charge is only applied to a carry$-$over balance!