Finding the Fourth Proportional to 78.76, 118.15 and 24.66

Step by Step Solution

1. Step 1: Write the proportion equation
   78.76 : 118.15 = 24.66 : x
2. Step 2: Convert to fraction form
   78.76/118.15 = 24.66/x
3. Step 3: Cross multiply
   78.76x = 118.15 × 24.66
4. Step 4: Simplify right side
   78.76x = 2,913.52
5. Step 5: Solve for x
   x = 2,913.52/78.76
6. Step 6: Final answer
   x = 36.99