Finding the Fourth Proportional to 82.98, 114.65 and 82.37

Step by Step Solution

1. Step 1: Write the proportion equation
   82.98 : 114.65 = 82.37 : x
2. Step 2: Convert to fraction form
   82.98/114.65 = 82.37/x
3. Step 3: Cross multiply
   82.98x = 114.65 × 82.37
4. Step 4: Simplify right side
   82.98x = 9,443.72
5. Step 5: Solve for x
   x = 9,443.72/82.98
6. Step 6: Final answer
   x = 113.81