Finding the Fourth Proportional to 105.92, 146.22 and 82.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105.92 : 146.22 = 82.56 : x
2. Step 2: Convert to fraction form
   105.92/146.22 = 82.56/x
3. Step 3: Cross multiply
   105.92x = 146.22 × 82.56
4. Step 4: Simplify right side
   105.92x = 12,071.92
5. Step 5: Solve for x
   x = 12,071.92/105.92
6. Step 6: Final answer
   x = 113.97