Finding the Fourth Proportional to 105.80, 146.34 and 82.71

Step by Step Solution

1. Step 1: Write the proportion equation
   105.80 : 146.34 = 82.71 : x
2. Step 2: Convert to fraction form
   105.80/146.34 = 82.71/x
3. Step 3: Cross multiply
   105.80x = 146.34 × 82.71
4. Step 4: Simplify right side
   105.80x = 12,103.78
5. Step 5: Solve for x
   x = 12,103.78/105.80
6. Step 6: Final answer
   x = 114.41