Finding the Fourth Proportional to 127.58, 175.91 and 78.41

Step by Step Solution

1. Step 1: Write the proportion equation
   127.58 : 175.91 = 78.41 : x
2. Step 2: Convert to fraction form
   127.58/175.91 = 78.41/x
3. Step 3: Cross multiply
   127.58x = 175.91 × 78.41
4. Step 4: Simplify right side
   127.58x = 13,793.15
5. Step 5: Solve for x
   x = 13,793.15/127.58
6. Step 6: Final answer
   x = 108.12