Finding the Fourth Proportional to 1,086.77, 1,499.72 and 589.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.77 : 1,499.72 = 589.40 : x
2. Step 2: Convert to fraction form
   1,086.77/1,499.72 = 589.40/x
3. Step 3: Cross multiply
   1,086.77x = 1,499.72 × 589.40
4. Step 4: Simplify right side
   1,086.77x = 883,924.52
5. Step 5: Solve for x
   x = 883,924.52/1,086.77
6. Step 6: Final answer
   x = 813.35