Finding the Fourth Proportional to 92.96, 128.16 and 82.56

Step by Step Solution

1. Step 1: Write the proportion equation
   92.96 : 128.16 = 82.56 : x
2. Step 2: Convert to fraction form
   92.96/128.16 = 82.56/x
3. Step 3: Cross multiply
   92.96x = 128.16 × 82.56
4. Step 4: Simplify right side
   92.96x = 10,580.89
5. Step 5: Solve for x
   x = 10,580.89/92.96
6. Step 6: Final answer
   x = 113.82