Finding the Fourth Proportional to 105.89, 146.11 and 69.11

Step by Step Solution

1. Step 1: Write the proportion equation
   105.89 : 146.11 = 69.11 : x
2. Step 2: Convert to fraction form
   105.89/146.11 = 69.11/x
3. Step 3: Cross multiply
   105.89x = 146.11 × 69.11
4. Step 4: Simplify right side
   105.89x = 10,096.89
5. Step 5: Solve for x
   x = 10,096.89/105.89
6. Step 6: Final answer
   x = 95.35