Finding the Fourth Proportional to 1,086.69, 1,499.63 and 589.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.69 : 1,499.63 = 589.33 : x
2. Step 2: Convert to fraction form
   1,086.69/1,499.63 = 589.33/x
3. Step 3: Cross multiply
   1,086.69x = 1,499.63 × 589.33
4. Step 4: Simplify right side
   1,086.69x = 883,778.09
5. Step 5: Solve for x
   x = 883,778.09/1,086.69
6. Step 6: Final answer
   x = 813.27