Finding the Fourth Proportional to 105.82, 158.73 and 51.64

Step by Step Solution

1. Step 1: Write the proportion equation
   105.82 : 158.73 = 51.64 : x
2. Step 2: Convert to fraction form
   105.82/158.73 = 51.64/x
3. Step 3: Cross multiply
   105.82x = 158.73 × 51.64
4. Step 4: Simplify right side
   105.82x = 8,196.82
5. Step 5: Solve for x
   x = 8,196.82/105.82
6. Step 6: Final answer
   x = 77.46