Finding the Fourth Proportional to 105.85, 146.10 and 69.06

Step by Step Solution

1. Step 1: Write the proportion equation
   105.85 : 146.10 = 69.06 : x
2. Step 2: Convert to fraction form
   105.85/146.10 = 69.06/x
3. Step 3: Cross multiply
   105.85x = 146.10 × 69.06
4. Step 4: Simplify right side
   105.85x = 10,090.47
5. Step 5: Solve for x
   x = 10,090.47/105.85
6. Step 6: Final answer
   x = 95.33