Finding the Fourth Proportional to 1,013.57, 1,398.69 and 565.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.57 : 1,398.69 = 565.42 : x
2. Step 2: Convert to fraction form
   1,013.57/1,398.69 = 565.42/x
3. Step 3: Cross multiply
   1,013.57x = 1,398.69 × 565.42
4. Step 4: Simplify right side
   1,013.57x = 790,847.30
5. Step 5: Solve for x
   x = 790,847.30/1,013.57
6. Step 6: Final answer
   x = 780.26