Finding the Fourth Proportional to 105.92, 158.83 and 71.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105.92 : 158.83 = 71.69 : x
2. Step 2: Convert to fraction form
   105.92/158.83 = 71.69/x
3. Step 3: Cross multiply
   105.92x = 158.83 × 71.69
4. Step 4: Simplify right side
   105.92x = 11,386.16
5. Step 5: Solve for x
   x = 11,386.16/105.92
6. Step 6: Final answer
   x = 107.50