Finding the Fourth Proportional to 127.38, 175.86 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   127.38 : 175.86 = 83.82 : x
2. Step 2: Convert to fraction form
   127.38/175.86 = 83.82/x
3. Step 3: Cross multiply
   127.38x = 175.86 × 83.82
4. Step 4: Simplify right side
   127.38x = 14,740.59
5. Step 5: Solve for x
   x = 14,740.59/127.38
6. Step 6: Final answer
   x = 115.72