Finding the Fourth Proportional to 1,086.60, 1,499.50 and 589.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.60 : 1,499.50 = 589.23 : x
2. Step 2: Convert to fraction form
   1,086.60/1,499.50 = 589.23/x
3. Step 3: Cross multiply
   1,086.60x = 1,499.50 × 589.23
4. Step 4: Simplify right side
   1,086.60x = 883,550.39
5. Step 5: Solve for x
   x = 883,550.39/1,086.60
6. Step 6: Final answer
   x = 813.13