1. **State the problem:** Find the value of $?$ in the equation $$45.24 \times 89.92 + 28.39 \times 90.23 = ? - 3.44.$$ 2. **Rewrite the equation:** Add $3.44$ to both sides to isolate $?$: $$? = 45.24 \times 89.92 + 28.39 \times 90.23 + 3.44.$$ 3. **Calculate each product:** - Calculate $45.24 \times 89.92$: $$45.24 \times 89.92 = 4067.9808.$$ - Calculate $28.39 \times 90.23$: $$28.39 \times 90.23 = 2560.7997.$$ 4. **Sum the products and add 3.44:** $$4067.9808 + 2560.7997 + 3.44 = 6632.2205.$$ 5. **Compare with options:** The closest option to $6632.2205$ is not listed exactly, but since the problem likely expects rounding, check the options: 5612, 4854, 4268, 6573, 2423. The closest is 6573. 6. **Conclusion:** The value of $?$ is approximately $6573$. **Final answer:** $$? = 6573.$$