1. **State the problem:** Conor pays a fixed tax of 3440 plus 22% on the amount his taxable income exceeds 36000. His total tax is 3684. Find his taxable income. 2. **Set up the equation:** Let $x$ be Conor's taxable income. The tax formula is: $$\text{Tax} = 3440 + 0.22(x - 36000)$$ 3. **Plug in the total tax and solve for $x$:** $$3684 = 3440 + 0.22(x - 36000)$$ 4. **Isolate the term with $x$:** $$3684 - 3440 = 0.22(x - 36000)$$ $$244 = 0.22(x - 36000)$$ 5. **Divide both sides by 0.22:** $$\frac{244}{0.22} = \cancel{0.22} \frac{(x - 36000)}{\cancel{0.22}}$$ $$1109.09 = x - 36000$$ 6. **Add 36000 to both sides:** $$x = 1109.09 + 36000$$ $$x = 37109.09$$ **Answer:** Conor's taxable income is approximately $37109.09$.