Finding the Fourth Proportional to 105.91, 158.91 and 51.82

Step by Step Solution

1. Step 1: Write the proportion equation
   105.91 : 158.91 = 51.82 : x
2. Step 2: Convert to fraction form
   105.91/158.91 = 51.82/x
3. Step 3: Cross multiply
   105.91x = 158.91 × 51.82
4. Step 4: Simplify right side
   105.91x = 8,234.72
5. Step 5: Solve for x
   x = 8,234.72/105.91
6. Step 6: Final answer
   x = 77.75