Finding the Fourth Proportional to 1,086.11, 1,498.83 and 588.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.11 : 1,498.83 = 588.74 : x
2. Step 2: Convert to fraction form
   1,086.11/1,498.83 = 588.74/x
3. Step 3: Cross multiply
   1,086.11x = 1,498.83 × 588.74
4. Step 4: Simplify right side
   1,086.11x = 882,425.77
5. Step 5: Solve for x
   x = 882,425.77/1,086.11
6. Step 6: Final answer
   x = 812.47