Finding the Fourth Proportional to 105.91, 146.15 and 82.62

Step by Step Solution

1. Step 1: Write the proportion equation
   105.91 : 146.15 = 82.62 : x
2. Step 2: Convert to fraction form
   105.91/146.15 = 82.62/x
3. Step 3: Cross multiply
   105.91x = 146.15 × 82.62
4. Step 4: Simplify right side
   105.91x = 12,075.27
5. Step 5: Solve for x
   x = 12,075.27/105.91
6. Step 6: Final answer
   x = 114.02