Finding the Fourth Proportional to 1,002.57, 1,383.55 and 560.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.57 : 1,383.55 = 560.48 : x
2. Step 2: Convert to fraction form
   1,002.57/1,383.55 = 560.48/x
3. Step 3: Cross multiply
   1,002.57x = 1,383.55 × 560.48
4. Step 4: Simplify right side
   1,002.57x = 775,452.10
5. Step 5: Solve for x
   x = 775,452.10/1,002.57
6. Step 6: Final answer
   x = 773.46