Finding the Fourth Proportional to 1,086.32, 1,499.10 and 588.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.32 : 1,499.10 = 588.96 : x
2. Step 2: Convert to fraction form
   1,086.32/1,499.10 = 588.96/x
3. Step 3: Cross multiply
   1,086.32x = 1,499.10 × 588.96
4. Step 4: Simplify right side
   1,086.32x = 882,909.94
5. Step 5: Solve for x
   x = 882,909.94/1,086.32
6. Step 6: Final answer
   x = 812.75