Finding the Fourth Proportional to 105.97, 146.22 and 59.34

Step by Step Solution

1. Step 1: Write the proportion equation
   105.97 : 146.22 = 59.34 : x
2. Step 2: Convert to fraction form
   105.97/146.22 = 59.34/x
3. Step 3: Cross multiply
   105.97x = 146.22 × 59.34
4. Step 4: Simplify right side
   105.97x = 8,676.69
5. Step 5: Solve for x
   x = 8,676.69/105.97
6. Step 6: Final answer
   x = 81.88