Finding the Fourth Proportional to 78.88, 118.34 and 24.78

Step by Step Solution

1. Step 1: Write the proportion equation
   78.88 : 118.34 = 24.78 : x
2. Step 2: Convert to fraction form
   78.88/118.34 = 24.78/x
3. Step 3: Cross multiply
   78.88x = 118.34 × 24.78
4. Step 4: Simplify right side
   78.88x = 2,932.47
5. Step 5: Solve for x
   x = 2,932.47/78.88
6. Step 6: Final answer
   x = 37.18