Finding the Fourth Proportional to 111.69, 154.17 and 82.67

Step by Step Solution

1. Step 1: Write the proportion equation
   111.69 : 154.17 = 82.67 : x
2. Step 2: Convert to fraction form
   111.69/154.17 = 82.67/x
3. Step 3: Cross multiply
   111.69x = 154.17 × 82.67
4. Step 4: Simplify right side
   111.69x = 12,745.23
5. Step 5: Solve for x
   x = 12,745.23/111.69
6. Step 6: Final answer
   x = 114.11