Finding the Fourth Proportional to 105.84, 158.71 and 51.71

Step by Step Solution

1. Step 1: Write the proportion equation
   105.84 : 158.71 = 51.71 : x
2. Step 2: Convert to fraction form
   105.84/158.71 = 51.71/x
3. Step 3: Cross multiply
   105.84x = 158.71 × 51.71
4. Step 4: Simplify right side
   105.84x = 8,206.89
5. Step 5: Solve for x
   x = 8,206.89/105.84
6. Step 6: Final answer
   x = 77.54