Finding the Fourth Proportional to 1,013.97, 1,399.27 and 565.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.97 : 1,399.27 = 565.83 : x
2. Step 2: Convert to fraction form
   1,013.97/1,399.27 = 565.83/x
3. Step 3: Cross multiply
   1,013.97x = 1,399.27 × 565.83
4. Step 4: Simplify right side
   1,013.97x = 791,748.94
5. Step 5: Solve for x
   x = 791,748.94/1,013.97
6. Step 6: Final answer
   x = 780.84