Finding the Fourth Proportional to 82.43, 113.72 and 49.69

Step by Step Solution

1. Step 1: Write the proportion equation
   82.43 : 113.72 = 49.69 : x
2. Step 2: Convert to fraction form
   82.43/113.72 = 49.69/x
3. Step 3: Cross multiply
   82.43x = 113.72 × 49.69
4. Step 4: Simplify right side
   82.43x = 5,650.75
5. Step 5: Solve for x
   x = 5,650.75/82.43
6. Step 6: Final answer
   x = 68.55