Finding the Fourth Proportional to 105.69, 158.43 and 47.89

Step by Step Solution

1. Step 1: Write the proportion equation
   105.69 : 158.43 = 47.89 : x
2. Step 2: Convert to fraction form
   105.69/158.43 = 47.89/x
3. Step 3: Cross multiply
   105.69x = 158.43 × 47.89
4. Step 4: Simplify right side
   105.69x = 7,587.46
5. Step 5: Solve for x
   x = 7,587.46/105.69
6. Step 6: Final answer
   x = 71.79