Your employer offers a $401($k$)$ plan with a $11\%$ match, and you set a goal of retiring in $25$ years with an amount of money which has the same buying power that $1\mathrm{.}7$ million dollars has today. If the account earns an annual interest rate of $1\mathrm{.}8\%$ and the expected annual rate of inflation is $1\mathrm{.}3\%,$ how much should YOU contribute each month to the $401($k$)?$

Round your answer to the nearest dollar.