Finding the Fourth Proportional to 1,002.81, 1,383.92 and 560.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.81 : 1,383.92 = 560.76 : x
2. Step 2: Convert to fraction form
   1,002.81/1,383.92 = 560.76/x
3. Step 3: Cross multiply
   1,002.81x = 1,383.92 × 560.76
4. Step 4: Simplify right side
   1,002.81x = 776,041.09
5. Step 5: Solve for x
   x = 776,041.09/1,002.81
6. Step 6: Final answer
   x = 773.86