Finding the Fourth Proportional to 97.76, 146.49 and 82.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97.76 : 146.49 = 82.50 : x
2. Step 2: Convert to fraction form
   97.76/146.49 = 82.50/x
3. Step 3: Cross multiply
   97.76x = 146.49 × 82.50
4. Step 4: Simplify right side
   97.76x = 12,085.43
5. Step 5: Solve for x
   x = 12,085.43/97.76
6. Step 6: Final answer
   x = 123.63