Finding the Fourth Proportional to 105.96, 146.10 and 82.60

Step by Step Solution

1. Step 1: Write the proportion equation
   105.96 : 146.10 = 82.60 : x
2. Step 2: Convert to fraction form
   105.96/146.10 = 82.60/x
3. Step 3: Cross multiply
   105.96x = 146.10 × 82.60
4. Step 4: Simplify right side
   105.96x = 12,067.86
5. Step 5: Solve for x
   x = 12,067.86/105.96
6. Step 6: Final answer
   x = 113.89