Finding the Fourth Proportional to 97.72, 146.78 and 83.27

Step by Step Solution

1. Step 1: Write the proportion equation
   97.72 : 146.78 = 83.27 : x
2. Step 2: Convert to fraction form
   97.72/146.78 = 83.27/x
3. Step 3: Cross multiply
   97.72x = 146.78 × 83.27
4. Step 4: Simplify right side
   97.72x = 12,222.37
5. Step 5: Solve for x
   x = 12,222.37/97.72
6. Step 6: Final answer
   x = 125.08