Finding the Fourth Proportional to 127.42, 175.89 and 83.77

Step by Step Solution

1. Step 1: Write the proportion equation
   127.42 : 175.89 = 83.77 : x
2. Step 2: Convert to fraction form
   127.42/175.89 = 83.77/x
3. Step 3: Cross multiply
   127.42x = 175.89 × 83.77
4. Step 4: Simplify right side
   127.42x = 14,734.31
5. Step 5: Solve for x
   x = 14,734.31/127.42
6. Step 6: Final answer
   x = 115.64