Finding the Fourth Proportional to 1,086.54, 1,499.42 and 589.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.54 : 1,499.42 = 589.18 : x
2. Step 2: Convert to fraction form
   1,086.54/1,499.42 = 589.18/x
3. Step 3: Cross multiply
   1,086.54x = 1,499.42 × 589.18
4. Step 4: Simplify right side
   1,086.54x = 883,419.31
5. Step 5: Solve for x
   x = 883,419.31/1,086.54
6. Step 6: Final answer
   x = 813.06