A payment of $7$ is deposited into an account at the end of each year for $45$ years. The account earns an annual effective interest rate of $i.$

Immediately after the $45$th deposit of $7,$ the account has accumulated to $x,$ which is used to purchase a perpetuity$-$immediate. At an annual effective interest rate of $1\mathrm{.}2i,$ the perpetuity will make annual payments of $75\mathrm{.}60.$

Calculate $x.$