Finding the Fourth Proportional to 1,002.53, 1,383.54 and 560.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.53 : 1,383.54 = 560.43 : x
2. Step 2: Convert to fraction form
   1,002.53/1,383.54 = 560.43/x
3. Step 3: Cross multiply
   1,002.53x = 1,383.54 × 560.43
4. Step 4: Simplify right side
   1,002.53x = 775,377.32
5. Step 5: Solve for x
   x = 775,377.32/1,002.53
6. Step 6: Final answer
   x = 773.42