Finding the Fourth Proportional to 78.82, 118.17 and 24.71

Step by Step Solution

1. Step 1: Write the proportion equation
   78.82 : 118.17 = 24.71 : x
2. Step 2: Convert to fraction form
   78.82/118.17 = 24.71/x
3. Step 3: Cross multiply
   78.82x = 118.17 × 24.71
4. Step 4: Simplify right side
   78.82x = 2,919.39
5. Step 5: Solve for x
   x = 2,919.39/78.82
6. Step 6: Final answer
   x = 37.04