Finding the Fourth Proportional to 78.69, 117.96 and 24.56

Step by Step Solution

1. Step 1: Write the proportion equation
   78.69 : 117.96 = 24.56 : x
2. Step 2: Convert to fraction form
   78.69/117.96 = 24.56/x
3. Step 3: Cross multiply
   78.69x = 117.96 × 24.56
4. Step 4: Simplify right side
   78.69x = 2,897.10
5. Step 5: Solve for x
   x = 2,897.10/78.69
6. Step 6: Final answer
   x = 36.82