Finding the Fourth Proportional to 1,002.20, 1,382.92 and 560.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.20 : 1,382.92 = 560.12 : x
2. Step 2: Convert to fraction form
   1,002.20/1,382.92 = 560.12/x
3. Step 3: Cross multiply
   1,002.20x = 1,382.92 × 560.12
4. Step 4: Simplify right side
   1,002.20x = 774,601.15
5. Step 5: Solve for x
   x = 774,601.15/1,002.20
6. Step 6: Final answer
   x = 772.90