Finding the Fourth Proportional to 82.84, 114.31 and 51.76

Step by Step Solution

1. Step 1: Write the proportion equation
   82.84 : 114.31 = 51.76 : x
2. Step 2: Convert to fraction form
   82.84/114.31 = 51.76/x
3. Step 3: Cross multiply
   82.84x = 114.31 × 51.76
4. Step 4: Simplify right side
   82.84x = 5,916.69
5. Step 5: Solve for x
   x = 5,916.69/82.84
6. Step 6: Final answer
   x = 71.42