Finding the Fourth Proportional to 111.42, 166.23 and 106.26

Step by Step Solution

1. Step 1: Write the proportion equation
   111.42 : 166.23 = 106.26 : x
2. Step 2: Convert to fraction form
   111.42/166.23 = 106.26/x
3. Step 3: Cross multiply
   111.42x = 166.23 × 106.26
4. Step 4: Simplify right side
   111.42x = 17,663.60
5. Step 5: Solve for x
   x = 17,663.60/111.42
6. Step 6: Final answer
   x = 158.53