Finding the Fourth Proportional to 82.37, 113.59 and 78.86

Step by Step Solution

1. Step 1: Write the proportion equation
   82.37 : 113.59 = 78.86 : x
2. Step 2: Convert to fraction form
   82.37/113.59 = 78.86/x
3. Step 3: Cross multiply
   82.37x = 113.59 × 78.86
4. Step 4: Simplify right side
   82.37x = 8,957.71
5. Step 5: Solve for x
   x = 8,957.71/82.37
6. Step 6: Final answer
   x = 108.75