Ivanhoe Inc. wishes to accumulate $$1,144,000$ by December $31,2035,$ to retire bonds outstanding. The company deposits $$176,000$ on December $31,2025,$ which will earn interest at $12\%$ compounded quarterly, to help in the retirement of this debt. In addition, the company wants to know how much should be deposited at the end of each quarter for $10$ years to ensure that $$1,144,000$ is available at the end of $2035.($The quarterly deposits will also earn at a rate of $12\%,$ compounded quarterly.$)($Round factor values to $5$ decimal places, e$.$g$.1\mathrm{.}25124$ and final answer to $0$ decimal places, e$.$g$.458,581.)$

Annuity of value of quarterly deposits $

$\frac{3}{4}$