1. The problem is to multiply two numbers: 4109 and 92. 2. We'll perform the multiplication step-by-step. 3. Multiply 4109 by 90: $$4109 \times 90 = 4109 \times (9 \times 10) = (4109 \times 9) \times 10$$ 4. Calculate $$4109 \times 9$$: $$4109 \times 9 = 36981$$ 5. Multiply by 10: $$36981 \times 10 = 369810$$ 6. Now multiply 4109 by 2: $$4109 \times 2 = 8218$$ 7. Add the two results together: $$369810 + 8218 = 378028$$ 8. Therefore, the final answer is: $$4109 \times 92 = 378028$$