Finding the Fourth Proportional to 111.06, 166.46 and 105.39

Step by Step Solution

1. Step 1: Write the proportion equation
   111.06 : 166.46 = 105.39 : x
2. Step 2: Convert to fraction form
   111.06/166.46 = 105.39/x
3. Step 3: Cross multiply
   111.06x = 166.46 × 105.39
4. Step 4: Simplify right side
   111.06x = 17,542.69
5. Step 5: Solve for x
   x = 17,542.69/111.06
6. Step 6: Final answer
   x = 157.96