1. **State the problem:** Solve for $x$ in the equation $\frac{25991.5}{x} = 0.025$. 2. **Formula and rules:** To solve for $x$ when it is in the denominator, multiply both sides by $x$ to get rid of the fraction, then isolate $x$. 3. **Multiply both sides by $x$:** $$\frac{25991.5}{\cancel{x}} \times x = 0.025 \times x$$ which simplifies to $$25991.5 = 0.025x$$ 4. **Isolate $x$ by dividing both sides by 0.025:** $$\frac{25991.5}{\cancel{0.025}} \div \cancel{0.025} = \frac{0.025x}{\cancel{0.025}} \div \cancel{0.025}$$ which simplifies to $$x = \frac{25991.5}{0.025}$$ 5. **Calculate the value:** $$x = 1039660$$ **Final answer:** $$x = 1039660$$