Finding the Fourth Proportional to 9,744.90, 14,620.84 and 3,171.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.90 : 14,620.84 = 3,171.10 : x
2. Step 2: Convert to fraction form
   9,744.90/14,620.84 = 3,171.10/x
3. Step 3: Cross multiply
   9,744.90x = 14,620.84 × 3,171.10
4. Step 4: Simplify right side
   9,744.90x = 46,364,145.72
5. Step 5: Solve for x
   x = 46,364,145.72/9,744.90
6. Step 6: Final answer
   x = 4,757.79