Finding the Fourth Proportional to 82.57, 114.00 and 51.49

Step by Step Solution

1. Step 1: Write the proportion equation
   82.57 : 114.00 = 51.49 : x
2. Step 2: Convert to fraction form
   82.57/114.00 = 51.49/x
3. Step 3: Cross multiply
   82.57x = 114.00 × 51.49
4. Step 4: Simplify right side
   82.57x = 5,869.03
5. Step 5: Solve for x
   x = 5,869.03/82.57
6. Step 6: Final answer
   x = 71.08