Finding the Fourth Proportional to 105.86, 146.16 and 69.08

Step by Step Solution

1. Step 1: Write the proportion equation
   105.86 : 146.16 = 69.08 : x
2. Step 2: Convert to fraction form
   105.86/146.16 = 69.08/x
3. Step 3: Cross multiply
   105.86x = 146.16 × 69.08
4. Step 4: Simplify right side
   105.86x = 10,096.73
5. Step 5: Solve for x
   x = 10,096.73/105.86
6. Step 6: Final answer
   x = 95.38