1. **State the problem:** Solve for $x$ in the equation $$\frac{2}{3} = \frac{x}{4}$$. 2. **Formula and rule:** To solve for $x$ in a proportion $\frac{a}{b} = \frac{c}{d}$, use cross multiplication: $$a \times d = b \times c$$. 3. **Apply cross multiplication:** $$2 \times 4 = 3 \times x$$ 4. **Simplify both sides:** $$8 = 3x$$ 5. **Solve for $x$ by dividing both sides by 3:** $$x = \frac{8}{3}$$ 6. **Show cancellation step:** $$x = \frac{\cancel{8}}{\cancel{3}}$$ (no common factors to cancel, so fraction remains $\frac{8}{3}$) 7. **Final answer:** $$x = \frac{8}{3}$$ This means $x$ is $\frac{8}{3}$ or approximately 2.67.