Finding the Fourth Proportional to 1,002.61, 1,383.57 and 560.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.61 : 1,383.57 = 560.55 : x
2. Step 2: Convert to fraction form
   1,002.61/1,383.57 = 560.55/x
3. Step 3: Cross multiply
   1,002.61x = 1,383.57 × 560.55
4. Step 4: Simplify right side
   1,002.61x = 775,560.16
5. Step 5: Solve for x
   x = 775,560.16/1,002.61
6. Step 6: Final answer
   x = 773.54