Finding the Fourth Proportional to 82.32, 123.42 and 64.32

Step by Step Solution

1. Step 1: Write the proportion equation
   82.32 : 123.42 = 64.32 : x
2. Step 2: Convert to fraction form
   82.32/123.42 = 64.32/x
3. Step 3: Cross multiply
   82.32x = 123.42 × 64.32
4. Step 4: Simplify right side
   82.32x = 7,938.37
5. Step 5: Solve for x
   x = 7,938.37/82.32
6. Step 6: Final answer
   x = 96.43