Finding the Fourth Proportional to 82.78, 114.22 and 51.69

Step by Step Solution

1. Step 1: Write the proportion equation
   82.78 : 114.22 = 51.69 : x
2. Step 2: Convert to fraction form
   82.78/114.22 = 51.69/x
3. Step 3: Cross multiply
   82.78x = 114.22 × 51.69
4. Step 4: Simplify right side
   82.78x = 5,904.03
5. Step 5: Solve for x
   x = 5,904.03/82.78
6. Step 6: Final answer
   x = 71.32