Finding the Fourth Proportional to 105.81, 158.78 and 37.38

Step by Step Solution

1. Step 1: Write the proportion equation
   105.81 : 158.78 = 37.38 : x
2. Step 2: Convert to fraction form
   105.81/158.78 = 37.38/x
3. Step 3: Cross multiply
   105.81x = 158.78 × 37.38
4. Step 4: Simplify right side
   105.81x = 5,935.01
5. Step 5: Solve for x
   x = 5,935.01/105.81
6. Step 6: Final answer
   x = 56.09