Finding the Fourth Proportional to 1,086.52, 1,499.42 and 589.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.52 : 1,499.42 = 589.17 : x
2. Step 2: Convert to fraction form
   1,086.52/1,499.42 = 589.17/x
3. Step 3: Cross multiply
   1,086.52x = 1,499.42 × 589.17
4. Step 4: Simplify right side
   1,086.52x = 883,413.28
5. Step 5: Solve for x
   x = 883,413.28/1,086.52
6. Step 6: Final answer
   x = 813.07