Finding the Fourth Proportional to 127.50, 175.83 and 83.82

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 175.83 = 83.82 : x
2. Step 2: Convert to fraction form
   127.50/175.83 = 83.82/x
3. Step 3: Cross multiply
   127.50x = 175.83 × 83.82
4. Step 4: Simplify right side
   127.50x = 14,738.07
5. Step 5: Solve for x
   x = 14,738.07/127.50
6. Step 6: Final answer
   x = 115.59