Finding the Fourth Proportional to 1,002.06, 1,382.88 and 560.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.06 : 1,382.88 = 560.10 : x
2. Step 2: Convert to fraction form
   1,002.06/1,382.88 = 560.10/x
3. Step 3: Cross multiply
   1,002.06x = 1,382.88 × 560.10
4. Step 4: Simplify right side
   1,002.06x = 774,544.17
5. Step 5: Solve for x
   x = 774,544.17/1,002.06
6. Step 6: Final answer
   x = 772.95