Finding the Fourth Proportional to 127.57, 175.89 and 83.83

Step by Step Solution

1. Step 1: Write the proportion equation
   127.57 : 175.89 = 83.83 : x
2. Step 2: Convert to fraction form
   127.57/175.89 = 83.83/x
3. Step 3: Cross multiply
   127.57x = 175.89 × 83.83
4. Step 4: Simplify right side
   127.57x = 14,744.86
5. Step 5: Solve for x
   x = 14,744.86/127.57
6. Step 6: Final answer
   x = 115.58