Finding the Fourth Proportional to 82.52, 113.72 and 78.67

Step by Step Solution

1. Step 1: Write the proportion equation
   82.52 : 113.72 = 78.67 : x
2. Step 2: Convert to fraction form
   82.52/113.72 = 78.67/x
3. Step 3: Cross multiply
   82.52x = 113.72 × 78.67
4. Step 4: Simplify right side
   82.52x = 8,945.78
5. Step 5: Solve for x
   x = 8,945.78/82.52
6. Step 6: Final answer
   x = 108.41