Finding the Fourth Proportional to 111.16, 152.72 and 106.40

Step by Step Solution

1. Step 1: Write the proportion equation
   111.16 : 152.72 = 106.40 : x
2. Step 2: Convert to fraction form
   111.16/152.72 = 106.40/x
3. Step 3: Cross multiply
   111.16x = 152.72 × 106.40
4. Step 4: Simplify right side
   111.16x = 16,249.41
5. Step 5: Solve for x
   x = 16,249.41/111.16
6. Step 6: Final answer
   x = 146.18