Finding the Fourth Proportional to 105.42, 158.10 and 36.96

Step by Step Solution

1. Step 1: Write the proportion equation
   105.42 : 158.10 = 36.96 : x
2. Step 2: Convert to fraction form
   105.42/158.10 = 36.96/x
3. Step 3: Cross multiply
   105.42x = 158.10 × 36.96
4. Step 4: Simplify right side
   105.42x = 5,843.38
5. Step 5: Solve for x
   x = 5,843.38/105.42
6. Step 6: Final answer
   x = 55.43