Finding the Fourth Proportional to 105.69, 145.82 and 96.96

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 145.82 = 96.96 : x
2. Step 2: Convert to fraction form
   105.69/145.82 = 96.96/x
3. Step 3: Cross multiply
   105.69x = 145.82 × 96.96
4. Step 4: Simplify right side
   105.69x = 14,138.22
5. Step 5: Solve for x
   x = 14,138.22/105.69
6. Step 6: Final answer
   x = 133.77