1. **State the problem:** We need to add the numbers 6555, 155, 44, and 9052. 2. **Write the addition formula:** $$6555 + 155 + 44 + 9052$$ 3. **Add the numbers step-by-step:** - First, add 6555 and 155: $$6555 + 155 = 6710$$ - Next, add 44: $$6710 + 44 = 6754$$ - Finally, add 9052: $$6754 + 9052 = 15806$$ 4. **Explain the process:** We add each number one by one, carrying over digits if needed, to get the total sum. 5. **Final answer:** $$\boxed{15806}$$