Finding the Fourth Proportional to 1,007.98, 1,391.15 and 565.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.98 : 1,391.15 = 565.91 : x
2. Step 2: Convert to fraction form
   1,007.98/1,391.15 = 565.91/x
3. Step 3: Cross multiply
   1,007.98x = 1,391.15 × 565.91
4. Step 4: Simplify right side
   1,007.98x = 787,265.37
5. Step 5: Solve for x
   x = 787,265.37/1,007.98
6. Step 6: Final answer
   x = 781.03