Finding the Fourth Proportional to 105.69, 158.48 and 37.20

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 158.48 = 37.20 : x
2. Step 2: Convert to fraction form
   105.69/158.48 = 37.20/x
3. Step 3: Cross multiply
   105.69x = 158.48 × 37.20
4. Step 4: Simplify right side
   105.69x = 5,895.46
5. Step 5: Solve for x
   x = 5,895.46/105.69
6. Step 6: Final answer
   x = 55.78