Finding the Fourth Proportional to 1,086.37, 1,499.20 and 589.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.37 : 1,499.20 = 589.01 : x
2. Step 2: Convert to fraction form
   1,086.37/1,499.20 = 589.01/x
3. Step 3: Cross multiply
   1,086.37x = 1,499.20 × 589.01
4. Step 4: Simplify right side
   1,086.37x = 883,043.79
5. Step 5: Solve for x
   x = 883,043.79/1,086.37
6. Step 6: Final answer
   x = 812.84