Finding the Fourth Proportional to 127.42, 175.82 and 78.30

Step by Step Solution

1. Step 1: Write the proportion equation
   127.42 : 175.82 = 78.30 : x
2. Step 2: Convert to fraction form
   127.42/175.82 = 78.30/x
3. Step 3: Cross multiply
   127.42x = 175.82 × 78.30
4. Step 4: Simplify right side
   127.42x = 13,766.71
5. Step 5: Solve for x
   x = 13,766.71/127.42
6. Step 6: Final answer
   x = 108.04