Finding the Fourth Proportional to 111.46, 153.81 and 82.42

Step by Step Solution

1. Step 1: Write the proportion equation
   111.46 : 153.81 = 82.42 : x
2. Step 2: Convert to fraction form
   111.46/153.81 = 82.42/x
3. Step 3: Cross multiply
   111.46x = 153.81 × 82.42
4. Step 4: Simplify right side
   111.46x = 12,677.02
5. Step 5: Solve for x
   x = 12,677.02/111.46
6. Step 6: Final answer
   x = 113.74