Finding the Fourth Proportional to 1,086.14, 1,498.85 and 588.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.14 : 1,498.85 = 588.77 : x
2. Step 2: Convert to fraction form
   1,086.14/1,498.85 = 588.77/x
3. Step 3: Cross multiply
   1,086.14x = 1,498.85 × 588.77
4. Step 4: Simplify right side
   1,086.14x = 882,470.42
5. Step 5: Solve for x
   x = 882,470.42/1,086.14
6. Step 6: Final answer
   x = 812.49