Finding the Fourth Proportional to 1,086.20, 1,499.11 and 614.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.20 : 1,499.11 = 614.24 : x
2. Step 2: Convert to fraction form
   1,086.20/1,499.11 = 614.24/x
3. Step 3: Cross multiply
   1,086.20x = 1,499.11 × 614.24
4. Step 4: Simplify right side
   1,086.20x = 920,813.33
5. Step 5: Solve for x
   x = 920,813.33/1,086.20
6. Step 6: Final answer
   x = 847.74