Finding the Fourth Proportional to 82.35, 113.51 and 64.82

Step by Step Solution

1. Step 1: Write the proportion equation
   82.35 : 113.51 = 64.82 : x
2. Step 2: Convert to fraction form
   82.35/113.51 = 64.82/x
3. Step 3: Cross multiply
   82.35x = 113.51 × 64.82
4. Step 4: Simplify right side
   82.35x = 7,356.83
5. Step 5: Solve for x
   x = 7,356.83/82.35
6. Step 6: Final answer
   x = 89.34