Finding the Fourth Proportional to 1,086.78, 1,499.72 and 589.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.78 : 1,499.72 = 589.40 : x
2. Step 2: Convert to fraction form
   1,086.78/1,499.72 = 589.40/x
3. Step 3: Cross multiply
   1,086.78x = 1,499.72 × 589.40
4. Step 4: Simplify right side
   1,086.78x = 883,934.36
5. Step 5: Solve for x
   x = 883,934.36/1,086.78
6. Step 6: Final answer
   x = 813.35