Finding the Fourth Proportional to 1,002.76, 1,383.83 and 560.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.76 : 1,383.83 = 560.74 : x
2. Step 2: Convert to fraction form
   1,002.76/1,383.83 = 560.74/x
3. Step 3: Cross multiply
   1,002.76x = 1,383.83 × 560.74
4. Step 4: Simplify right side
   1,002.76x = 775,963.32
5. Step 5: Solve for x
   x = 775,963.32/1,002.76
6. Step 6: Final answer
   x = 773.83