Finding the Fourth Proportional to 111.86, 154.22 and 82.82

Step by Step Solution

1. Step 1: Write the proportion equation
   111.86 : 154.22 = 82.82 : x
2. Step 2: Convert to fraction form
   111.86/154.22 = 82.82/x
3. Step 3: Cross multiply
   111.86x = 154.22 × 82.82
4. Step 4: Simplify right side
   111.86x = 12,772.09
5. Step 5: Solve for x
   x = 12,772.09/111.86
6. Step 6: Final answer
   x = 114.18