Finding the Fourth Proportional to 105.32, 157.82 and 82.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105.32 : 157.82 = 82.38 : x
2. Step 2: Convert to fraction form
   105.32/157.82 = 82.38/x
3. Step 3: Cross multiply
   105.32x = 157.82 × 82.38
4. Step 4: Simplify right side
   105.32x = 13,000.42
5. Step 5: Solve for x
   x = 13,000.42/105.32
6. Step 6: Final answer
   x = 123.44