Finding the Fourth Proportional to 111.76, 166.56 and 107.24

Step by Step Solution

1. Step 1: Write the proportion equation
   111.76 : 166.56 = 107.24 : x
2. Step 2: Convert to fraction form
   111.76/166.56 = 107.24/x
3. Step 3: Cross multiply
   111.76x = 166.56 × 107.24
4. Step 4: Simplify right side
   111.76x = 17,861.89
5. Step 5: Solve for x
   x = 17,861.89/111.76
6. Step 6: Final answer
   x = 159.82