Finding the Fourth Proportional to 1,002.90, 1,384.02 and 560.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.90 : 1,384.02 = 560.82 : x
2. Step 2: Convert to fraction form
   1,002.90/1,384.02 = 560.82/x
3. Step 3: Cross multiply
   1,002.90x = 1,384.02 × 560.82
4. Step 4: Simplify right side
   1,002.90x = 776,186.10
5. Step 5: Solve for x
   x = 776,186.10/1,002.90
6. Step 6: Final answer
   x = 773.94