Finding the Fourth Proportional to 111.82, 167.75 and 34.78

Step by Step Solution

1. Step 1: Write the proportion equation
   111.82 : 167.75 = 34.78 : x
2. Step 2: Convert to fraction form
   111.82/167.75 = 34.78/x
3. Step 3: Cross multiply
   111.82x = 167.75 × 34.78
4. Step 4: Simplify right side
   111.82x = 5,834.35
5. Step 5: Solve for x
   x = 5,834.35/111.82
6. Step 6: Final answer
   x = 52.18