Finding the Fourth Proportional to 1,086.46, 1,499.30 and 589.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.46 : 1,499.30 = 589.09 : x
2. Step 2: Convert to fraction form
   1,086.46/1,499.30 = 589.09/x
3. Step 3: Cross multiply
   1,086.46x = 1,499.30 × 589.09
4. Step 4: Simplify right side
   1,086.46x = 883,222.64
5. Step 5: Solve for x
   x = 883,222.64/1,086.46
6. Step 6: Final answer
   x = 812.94