Finding the Fourth Proportional to 1,002.55, 1,383.56 and 560.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.55 : 1,383.56 = 560.49 : x
2. Step 2: Convert to fraction form
   1,002.55/1,383.56 = 560.49/x
3. Step 3: Cross multiply
   1,002.55x = 1,383.56 × 560.49
4. Step 4: Simplify right side
   1,002.55x = 775,475.75
5. Step 5: Solve for x
   x = 775,475.75/1,002.55
6. Step 6: Final answer
   x = 773.50