Finding the Fourth Proportional to 111.92, 166.73 and 105.27

Step by Step Solution

1. Step 1: Write the proportion equation
   111.92 : 166.73 = 105.27 : x
2. Step 2: Convert to fraction form
   111.92/166.73 = 105.27/x
3. Step 3: Cross multiply
   111.92x = 166.73 × 105.27
4. Step 4: Simplify right side
   111.92x = 17,551.14
5. Step 5: Solve for x
   x = 17,551.14/111.92
6. Step 6: Final answer
   x = 156.82