Christian, Ethan, and Yifei enter into a financial arrangement. Christian agrees to pay Ethan $3000$ today. Christian also agrees to pay Yifei $1000$ at the end of one year. At the end of three years, Yifei will pay Christian $4000.$ At the end of two years, Ethan will pay $x$ to Yifei and $1000$ to Christian.

Using the bottom line approach, the annual yield rate or interest rate is the same for Christian and Yifei.

Calculate $x.$

$($Round your answer to $2$ decimal places.$)$