Finding the Fourth Proportional to 1,002.81, 1,383.99 and 560.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.81 : 1,383.99 = 560.82 : x
2. Step 2: Convert to fraction form
   1,002.81/1,383.99 = 560.82/x
3. Step 3: Cross multiply
   1,002.81x = 1,383.99 × 560.82
4. Step 4: Simplify right side
   1,002.81x = 776,169.27
5. Step 5: Solve for x
   x = 776,169.27/1,002.81
6. Step 6: Final answer
   x = 773.99