Finding the Fourth Proportional to 1,086.49, 1,499.34 and 589.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.49 : 1,499.34 = 589.13 : x
2. Step 2: Convert to fraction form
   1,086.49/1,499.34 = 589.13/x
3. Step 3: Cross multiply
   1,086.49x = 1,499.34 × 589.13
4. Step 4: Simplify right side
   1,086.49x = 883,306.17
5. Step 5: Solve for x
   x = 883,306.17/1,086.49
6. Step 6: Final answer
   x = 812.99