Finding the Fourth Proportional to 1,007.89, 1,391.02 and 565.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007.89 : 1,391.02 = 565.94 : x
2. Step 2: Convert to fraction form
   1,007.89/1,391.02 = 565.94/x
3. Step 3: Cross multiply
   1,007.89x = 1,391.02 × 565.94
4. Step 4: Simplify right side
   1,007.89x = 787,231.28
5. Step 5: Solve for x
   x = 787,231.28/1,007.89
6. Step 6: Final answer
   x = 781.07