\begin{equation*} \begin{split} & \frac{x}{\sin 30^{\text{o}}} = \frac{4}{\sin 45^{\text{o}}} \\\\ & \frac{x}{\frac{1}{2}} = \frac{4} {\frac{1}{2} \sqrt{2}} \\\\ & \frac{x}{\cancel{\frac{1}{2}}} = \frac{4} {\cancel{\frac{1}{2}} \sqrt{2}} \\\\ & \frac {x}{1} = \frac {4}{\sqrt{2}} \\\\ & x = \frac {4}{\sqrt{2}} {\color {blue} \times \frac {\sqrt{2}}{\sqrt{2}}} \\\\ & x = \frac {4}{2} \sqrt{2} \\\\ & \bbox[5px, border: 2px solid magenta] {x = 2 \sqrt{2} \text{ cm}} \end{split} \end{equation*}

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