Finding the Fourth Proportional to 111.46, 166.07 and 105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111.46 : 166.07 = 105.25 : x
2. Step 2: Convert to fraction form
   111.46/166.07 = 105.25/x
3. Step 3: Cross multiply
   111.46x = 166.07 × 105.25
4. Step 4: Simplify right side
   111.46x = 17,478.87
5. Step 5: Solve for x
   x = 17,478.87/111.46
6. Step 6: Final answer
   x = 156.82