Finding the Fourth Proportional to 1,002.53, 1,383.57 and 560.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.53 : 1,383.57 = 560.46 : x
2. Step 2: Convert to fraction form
   1,002.53/1,383.57 = 560.46/x
3. Step 3: Cross multiply
   1,002.53x = 1,383.57 × 560.46
4. Step 4: Simplify right side
   1,002.53x = 775,435.64
5. Step 5: Solve for x
   x = 775,435.64/1,002.53
6. Step 6: Final answer
   x = 773.48