Let $x$ represent how much money (in dollars) that Neil will make by working thirty-two hours this week. To solve this use a proportion, we begin by setting up a ratio where we know all the values: $\frac{58 \text{ dollars}}{4\text{ hours}}$ We then set up a second ratio, using the same structure, where one value is unknown: $\frac{x \text{ dollars}}{32\text{ hours}}$ We finish by setting the two ratios equal and solve the resulting proportion. $$\begin{aligned} \frac{58}{4} \amp= \frac{x}{32}\\ \frac{58}{4}\multiplyright{32} \amp= \frac{x}{32}\multiplyright{32}\\ 464 \amp= x \end{aligned}$$ Neil will make $464 by working thirty-two hours this week.