Finding the Fourth Proportional to 1,002.29, 1,383.03 and 560.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.29 : 1,383.03 = 560.17 : x
2. Step 2: Convert to fraction form
   1,002.29/1,383.03 = 560.17/x
3. Step 3: Cross multiply
   1,002.29x = 1,383.03 × 560.17
4. Step 4: Simplify right side
   1,002.29x = 774,731.92
5. Step 5: Solve for x
   x = 774,731.92/1,002.29
6. Step 6: Final answer
   x = 772.96