Finding the Fourth Proportional to 1,014.24, 1,399.61 and 566.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.24 : 1,399.61 = 566.10 : x
2. Step 2: Convert to fraction form
   1,014.24/1,399.61 = 566.10/x
3. Step 3: Cross multiply
   1,014.24x = 1,399.61 × 566.10
4. Step 4: Simplify right side
   1,014.24x = 792,316.39
5. Step 5: Solve for x
   x = 792,316.39/1,014.24
6. Step 6: Final answer
   x = 781.19