Finding the Fourth Proportional to 1,013.50, 1,398.59 and 565.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.50 : 1,398.59 = 565.35 : x
2. Step 2: Convert to fraction form
   1,013.50/1,398.59 = 565.35/x
3. Step 3: Cross multiply
   1,013.50x = 1,398.59 × 565.35
4. Step 4: Simplify right side
   1,013.50x = 790,684.92
5. Step 5: Solve for x
   x = 790,684.92/1,013.50
6. Step 6: Final answer
   x = 780.16