Finding the Fourth Proportional to 127.42, 175.71 and 105.28

Step by Step Solution

1. Step 1: Write the proportion equation
   127.42 : 175.71 = 105.28 : x
2. Step 2: Convert to fraction form
   127.42/175.71 = 105.28/x
3. Step 3: Cross multiply
   127.42x = 175.71 × 105.28
4. Step 4: Simplify right side
   127.42x = 18,498.75
5. Step 5: Solve for x
   x = 18,498.75/127.42
6. Step 6: Final answer
   x = 145.18