Finding the Fourth Proportional to 127.10, 175.42 and 78.01

Step by Step Solution

1. Step 1: Write the proportion equation
   127.10 : 175.42 = 78.01 : x
2. Step 2: Convert to fraction form
   127.10/175.42 = 78.01/x
3. Step 3: Cross multiply
   127.10x = 175.42 × 78.01
4. Step 4: Simplify right side
   127.10x = 13,683.25
5. Step 5: Solve for x
   x = 13,683.25/127.10
6. Step 6: Final answer
   x = 107.66