Finding the Fourth Proportional to 111.04, 165.92 and 106.72

Step by Step Solution

1. Step 1: Write the proportion equation
   111.04 : 165.92 = 106.72 : x
2. Step 2: Convert to fraction form
   111.04/165.92 = 106.72/x
3. Step 3: Cross multiply
   111.04x = 165.92 × 106.72
4. Step 4: Simplify right side
   111.04x = 17,706.98
5. Step 5: Solve for x
   x = 17,706.98/111.04
6. Step 6: Final answer
   x = 159.46