Finding the Fourth Proportional to 1,086.67, 1,499.60 and 589.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.67 : 1,499.60 = 589.30 : x
2. Step 2: Convert to fraction form
   1,086.67/1,499.60 = 589.30/x
3. Step 3: Cross multiply
   1,086.67x = 1,499.60 × 589.30
4. Step 4: Simplify right side
   1,086.67x = 883,711.33
5. Step 5: Solve for x
   x = 883,711.33/1,086.67
6. Step 6: Final answer
   x = 813.23