Finding the Fourth Proportional to 1,086.61, 1,499.50 and 589.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.61 : 1,499.50 = 589.24 : x
2. Step 2: Convert to fraction form
   1,086.61/1,499.50 = 589.24/x
3. Step 3: Cross multiply
   1,086.61x = 1,499.50 × 589.24
4. Step 4: Simplify right side
   1,086.61x = 883,559.36
5. Step 5: Solve for x
   x = 883,559.36/1,086.61
6. Step 6: Final answer
   x = 813.14