You have $$30,000$ to invest in a stock portfolio. Your choices are Stock X with an expected return of $14\mathrm{.}3$ percent and Stock Y with an expected return of $8\mathrm{.}8$ percent. Your goal is to create a portfolio with an expected return of $13$ percent. All money must be invested. How much will you invest in Stock X$?($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$