Finding the Fourth Proportional to 82.89, 114.41 and 50.16

Step by Step Solution

1. Step 1: Write the proportion equation
   82.89 : 114.41 = 50.16 : x
2. Step 2: Convert to fraction form
   82.89/114.41 = 50.16/x
3. Step 3: Cross multiply
   82.89x = 114.41 × 50.16
4. Step 4: Simplify right side
   82.89x = 5,738.55
5. Step 5: Solve for x
   x = 5,738.55/82.89
6. Step 6: Final answer
   x = 69.23