Finding the Fourth Proportional to 105.82, 158.64 and 37.33

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.64 = 37.33 : x
2. Step 2: Convert to fraction form
   105.82/158.64 = 37.33/x
3. Step 3: Cross multiply
   105.82x = 158.64 × 37.33
4. Step 4: Simplify right side
   105.82x = 5,922.03
5. Step 5: Solve for x
   x = 5,922.03/105.82
6. Step 6: Final answer
   x = 55.96