Finding the Fourth Proportional to 82.37, 123.56 and 77.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82.37 : 123.56 = 77.31 : x
2. Step 2: Convert to fraction form
   82.37/123.56 = 77.31/x
3. Step 3: Cross multiply
   82.37x = 123.56 × 77.31
4. Step 4: Simplify right side
   82.37x = 9,552.04
5. Step 5: Solve for x
   x = 9,552.04/82.37
6. Step 6: Final answer
   x = 115.97