Finding the Fourth Proportional to 127.82, 176.56 and 105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   127.82 : 176.56 = 105.78 : x
2. Step 2: Convert to fraction form
   127.82/176.56 = 105.78/x
3. Step 3: Cross multiply
   127.82x = 176.56 × 105.78
4. Step 4: Simplify right side
   127.82x = 18,676.52
5. Step 5: Solve for x
   x = 18,676.52/127.82
6. Step 6: Final answer
   x = 146.12