Clair is an Artificial Intelligence engineer who hopes to become a millionaire by her $60$ th birthday, which is $360$ months from today. Starting next month, she plans to deposit $15\mathrm{.}00\%$ of her monthly salary into an account that will pay interest of $5\mathrm{.}00\%$ p$.$a$.$ How much does she need to make per month to achieve her goal?

$8,010\mathrm{.}33$

$1,201\mathrm{.}56$

$6,007\mathrm{.}75$

$8,563\mathrm{.}31$

None of the answers in this list is within $$10$ of the correct answer.

$6,705\mathrm{.}23$