Finding the Fourth Proportional to 78.82, 118.24 and 38.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78.82 : 118.24 = 38.25 : x
2. Step 2: Convert to fraction form
   78.82/118.24 = 38.25/x
3. Step 3: Cross multiply
   78.82x = 118.24 × 38.25
4. Step 4: Simplify right side
   78.82x = 4,522.58
5. Step 5: Solve for x
   x = 4,522.58/78.82
6. Step 6: Final answer
   x = 57.38