Finding the Fourth Proportional to 1,002.18, 1,382.86 and 560.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.18 : 1,382.86 = 560.02 : x
2. Step 2: Convert to fraction form
   1,002.18/1,382.86 = 560.02/x
3. Step 3: Cross multiply
   1,002.18x = 1,382.86 × 560.02
4. Step 4: Simplify right side
   1,002.18x = 774,429.26
5. Step 5: Solve for x
   x = 774,429.26/1,002.18
6. Step 6: Final answer
   x = 772.74