Finding the Fourth Proportional to 105.74, 158.52 and 65.07

Step by Step Solution

1. Step 1: Write the proportion equation
   105.74 : 158.52 = 65.07 : x
2. Step 2: Convert to fraction form
   105.74/158.52 = 65.07/x
3. Step 3: Cross multiply
   105.74x = 158.52 × 65.07
4. Step 4: Simplify right side
   105.74x = 10,314.90
5. Step 5: Solve for x
   x = 10,314.90/105.74
6. Step 6: Final answer
   x = 97.55