Finding the Fourth Proportional to 105.98, 146.32 and 82.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.98 : 146.32 = 82.69 : x
2. Step 2: Convert to fraction form
   105.98/146.32 = 82.69/x
3. Step 3: Cross multiply
   105.98x = 146.32 × 82.69
4. Step 4: Simplify right side
   105.98x = 12,099.20
5. Step 5: Solve for x
   x = 12,099.20/105.98
6. Step 6: Final answer
   x = 114.16