Finding the Fourth Proportional to 1,016.11, 1,401.97 and 780.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.11 : 1,401.97 = 780.29 : x
2. Step 2: Convert to fraction form
   1,016.11/1,401.97 = 780.29/x
3. Step 3: Cross multiply
   1,016.11x = 1,401.97 × 780.29
4. Step 4: Simplify right side
   1,016.11x = 1,093,943.17
5. Step 5: Solve for x
   x = 1,093,943.17/1,016.11
6. Step 6: Final answer
   x = 1,076.60