Finding the Fourth Proportional to 111.76, 167.42 and 106.22

Step by Step Solution

1. Step 1: Write the proportion equation
   111.76 : 167.42 = 106.22 : x
2. Step 2: Convert to fraction form
   111.76/167.42 = 106.22/x
3. Step 3: Cross multiply
   111.76x = 167.42 × 106.22
4. Step 4: Simplify right side
   111.76x = 17,784.04
5. Step 5: Solve for x
   x = 17,784.04/111.76
6. Step 6: Final answer
   x = 159.13