[tex]\text{Convert the mixed number to the improper fraction}\\\\1\dfrac{1}{9}=\dfrac{1\cdot9+1}{9}=\dfrac{10}{9}\\\\\dfrac{7.2}{x}=\dfrac{0.25}{\frac{10}{9}}\qquad\text{cross multiply}\\\\0.25x=\dfrac{7.2\cdot10}{9}\\\\0.25x=\dfrac{72}{9}\\\\0.25x=8\qquad\text{multiply both sides by 4}\\\\1x=32\\\\\boxed{x=32}[/tex]
