Finding the Fourth Proportional to 111.78, 168.62 and 106.52

Step by Step Solution

1. Step 1: Write the proportion equation
   111.78 : 168.62 = 106.52 : x
2. Step 2: Convert to fraction form
   111.78/168.62 = 106.52/x
3. Step 3: Cross multiply
   111.78x = 168.62 × 106.52
4. Step 4: Simplify right side
   111.78x = 17,960.03
5. Step 5: Solve for x
   x = 17,960.03/111.78
6. Step 6: Final answer
   x = 160.67