Finding the Fourth Proportional to 1,002.38, 1,383.58 and 560.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.38 : 1,383.58 = 560.42 : x
2. Step 2: Convert to fraction form
   1,002.38/1,383.58 = 560.42/x
3. Step 3: Cross multiply
   1,002.38x = 1,383.58 × 560.42
4. Step 4: Simplify right side
   1,002.38x = 775,384.87
5. Step 5: Solve for x
   x = 775,384.87/1,002.38
6. Step 6: Final answer
   x = 773.55