Finding the Fourth Proportional to 82.82, 114.24 and 51.74

Step by Step Solution

1. Step 1: Write the proportion equation
   82.82 : 114.24 = 51.74 : x
2. Step 2: Convert to fraction form
   82.82/114.24 = 51.74/x
3. Step 3: Cross multiply
   82.82x = 114.24 × 51.74
4. Step 4: Simplify right side
   82.82x = 5,910.21
5. Step 5: Solve for x
   x = 5,910.21/82.82
6. Step 6: Final answer
   x = 71.37