Finding the Fourth Proportional to 1,086.56, 1,499.45 and 589.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.56 : 1,499.45 = 589.20 : x
2. Step 2: Convert to fraction form
   1,086.56/1,499.45 = 589.20/x
3. Step 3: Cross multiply
   1,086.56x = 1,499.45 × 589.20
4. Step 4: Simplify right side
   1,086.56x = 883,475.94
5. Step 5: Solve for x
   x = 883,475.94/1,086.56
6. Step 6: Final answer
   x = 813.09