Finding the Fourth Proportional to 106.32, 159.42 and 65.82

Step by Step Solution

1. Step 1: Write the proportion equation
   106.32 : 159.42 = 65.82 : x
2. Step 2: Convert to fraction form
   106.32/159.42 = 65.82/x
3. Step 3: Cross multiply
   106.32x = 159.42 × 65.82
4. Step 4: Simplify right side
   106.32x = 10,493.02
5. Step 5: Solve for x
   x = 10,493.02/106.32
6. Step 6: Final answer
   x = 98.69