Finding the Fourth Proportional to 1,086.32, 1,499.14 and 588.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.32 : 1,499.14 = 588.97 : x
2. Step 2: Convert to fraction form
   1,086.32/1,499.14 = 588.97/x
3. Step 3: Cross multiply
   1,086.32x = 1,499.14 × 588.97
4. Step 4: Simplify right side
   1,086.32x = 882,948.49
5. Step 5: Solve for x
   x = 882,948.49/1,086.32
6. Step 6: Final answer
   x = 812.79