1. **State the problem:** Solve for $x$ in the equation $$\frac{x}{28} = \frac{9}{7}$$. 2. **Understand the equation:** This is a proportion where two fractions are equal. 3. **Cross multiply:** Multiply both sides to eliminate the denominators: $$x \times 7 = 9 \times 28$$ 4. **Calculate the right side:** $$9 \times 28 = 252$$ 5. **Solve for $x$:** $$7x = 252$$ Divide both sides by 7: $$x = \frac{252}{7} = 36$$ 6. **Final answer:** $$x = 36$$