Finding the Fourth Proportional to 105.93, 158.82 and 32.78

Step by Step Solution

1. Step 1: Write the proportion equation
   105.93 : 158.82 = 32.78 : x
2. Step 2: Convert to fraction form
   105.93/158.82 = 32.78/x
3. Step 3: Cross multiply
   105.93x = 158.82 × 32.78
4. Step 4: Simplify right side
   105.93x = 5,205.44
5. Step 5: Solve for x
   x = 5,205.44/105.93
6. Step 6: Final answer
   x = 49.14