Finding the Fourth Proportional to 111.96, 167.86 and 105.08

Step by Step Solution

1. Step 1: Write the proportion equation
   111.96 : 167.86 = 105.08 : x
2. Step 2: Convert to fraction form
   111.96/167.86 = 105.08/x
3. Step 3: Cross multiply
   111.96x = 167.86 × 105.08
4. Step 4: Simplify right side
   111.96x = 17,638.73
5. Step 5: Solve for x
   x = 17,638.73/111.96
6. Step 6: Final answer
   x = 157.54