1. **State the problem:** We need to solve for $x$ given the formula: $$x=\frac{336900}{0.90 \times 4200 \times \left(11.93 - \frac{y}{2}\right)}$$ 2. **Understand the formula:** This is a division problem where the numerator is 336900 and the denominator is the product of three terms: 0.90, 4200, and the expression $\left(11.93 - \frac{y}{2}\right)$. 3. **Simplify the denominator:** Calculate the product of the constants first: $$0.90 \times 4200 = 3780$$ 4. **Rewrite the formula:** $$x = \frac{336900}{3780 \times \left(11.93 - \frac{y}{2}\right)}$$ 5. **Final expression:** The formula for $x$ in terms of $y$ is: $$x = \frac{336900}{3780 \left(11.93 - \frac{y}{2}\right)}$$ This expression can be used to find $x$ for any given value of $y$. If you want to simplify further, you can divide numerator and denominator by 3780: $$x = \frac{\cancel{336900}^{\frac{336900}{3780}}}{\cancel{3780} \left(11.93 - \frac{y}{2}\right)} = \frac{89.126984}{11.93 - \frac{y}{2}}$$ So, $$x = \frac{89.126984}{11.93 - \frac{y}{2}}$$ This is the simplified formula for $x$ in terms of $y$.