Finding the Fourth Proportional to 78.82, 118.24 and 24.72

Step by Step Solution

1. Step 1: Write the proportion equation
   78.82 : 118.24 = 24.72 : x
2. Step 2: Convert to fraction form
   78.82/118.24 = 24.72/x
3. Step 3: Cross multiply
   78.82x = 118.24 × 24.72
4. Step 4: Simplify right side
   78.82x = 2,922.95
5. Step 5: Solve for x
   x = 2,922.95/78.82
6. Step 6: Final answer
   x = 37.08