Robert Williams is $30$ years old and wants to retire when he is $65.$ So far, he has saved $(1)$ $$5,470$ in an IRA account in which his money is earning $8\mathrm{.}3$ percent annually and $(2)$ $$5,250$ in a money market account in which he is earning $5\mathrm{.}25$ percent annually. Robert wants to have $$1$ million when he retires. Starting next year, he plans to invest the same amount of money every year until he retires in a mutual fund in which he expects to earn $7\mathrm{.}14$ percent annually. How much will Robert have to invest every year to achieve his savings goal?

$($Round factor values to $3$ decimal places, e$.$g$.1\mathrm{.}521$ and final answer to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$