Finding the Fourth Proportional to 82.34, 113.61 and 51.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82.34 : 113.61 = 51.25 : x
2. Step 2: Convert to fraction form
   82.34/113.61 = 51.25/x
3. Step 3: Cross multiply
   82.34x = 113.61 × 51.25
4. Step 4: Simplify right side
   82.34x = 5,822.51
5. Step 5: Solve for x
   x = 5,822.51/82.34
6. Step 6: Final answer
   x = 70.71