Finding the Fourth Proportional to 1,086.80, 1,499.77 and 589.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.80 : 1,499.77 = 589.43 : x
2. Step 2: Convert to fraction form
   1,086.80/1,499.77 = 589.43/x
3. Step 3: Cross multiply
   1,086.80x = 1,499.77 × 589.43
4. Step 4: Simplify right side
   1,086.80x = 884,000.46
5. Step 5: Solve for x
   x = 884,000.46/1,086.80
6. Step 6: Final answer
   x = 813.40