Finding the Fourth Proportional to 113.76, 155.88 and 111.42

Step by Step Solution

1. Step 1: Write the proportion equation
   113.76 : 155.88 = 111.42 : x
2. Step 2: Convert to fraction form
   113.76/155.88 = 111.42/x
3. Step 3: Cross multiply
   113.76x = 155.88 × 111.42
4. Step 4: Simplify right side
   113.76x = 17,368.15
5. Step 5: Solve for x
   x = 17,368.15/113.76
6. Step 6: Final answer
   x = 152.67