Finding the Fourth Proportional to 9,744.84, 14,619.96 and 3,171.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.84 : 14,619.96 = 3,171.42 : x
2. Step 2: Convert to fraction form
   9,744.84/14,619.96 = 3,171.42/x
3. Step 3: Cross multiply
   9,744.84x = 14,619.96 × 3,171.42
4. Step 4: Simplify right side
   9,744.84x = 46,366,033.54
5. Step 5: Solve for x
   x = 46,366,033.54/9,744.84
6. Step 6: Final answer
   x = 4,758.01