Answer
Ans: x = 10.5
Work Step by Step
$\frac{2\frac{1}{3}}{x} = \frac{\frac{8}{9}}{4}$
We need to find the unknown Number in the proportion.
Now, we need to find the cross product
i.e. $2\frac{1}{3} \times 4 = \frac{8}{9} \times x$
$\frac{7}{3} \times 4 = \frac{8}{9} \times x$
$\frac{28}{3} = \frac{8}{9} \times x$
Divide both sides by $\frac{8}{9}$
i.e. $\frac{\frac{28}{3}}{\frac{8}{9}} = \frac{\frac{8}{9} \times x}{\frac{8}{9}}$
so, $x = \frac{28}{3} \times \frac{9}{8}$
$x = \frac{252}{24} = 10.5$