Finding the Fourth Proportional to 1,002.82, 1,383.86 and 560.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.82 : 1,383.86 = 560.72 : x
2. Step 2: Convert to fraction form
   1,002.82/1,383.86 = 560.72/x
3. Step 3: Cross multiply
   1,002.82x = 1,383.86 × 560.72
4. Step 4: Simplify right side
   1,002.82x = 775,957.98
5. Step 5: Solve for x
   x = 775,957.98/1,002.82
6. Step 6: Final answer
   x = 773.78