Finding the Fourth Proportional to 105.80, 158.71 and 65.15

Step by Step Solution

1. Step 1: Write the proportion equation
   105.80 : 158.71 = 65.15 : x
2. Step 2: Convert to fraction form
   105.80/158.71 = 65.15/x
3. Step 3: Cross multiply
   105.80x = 158.71 × 65.15
4. Step 4: Simplify right side
   105.80x = 10,339.63
5. Step 5: Solve for x
   x = 10,339.63/105.80
6. Step 6: Final answer
   x = 97.73