Finding the Fourth Proportional to 82.24, 113.46 and 49.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.24 : 113.46 = 49.50 : x
2. Step 2: Convert to fraction form
   82.24/113.46 = 49.50/x
3. Step 3: Cross multiply
   82.24x = 113.46 × 49.50
4. Step 4: Simplify right side
   82.24x = 5,616.27
5. Step 5: Solve for x
   x = 5,616.27/82.24
6. Step 6: Final answer
   x = 68.29