Finding the Fourth Proportional to 9,749.10, 14,619.60 and 3,744.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.10 : 14,619.60 = 3,744.27 : x
2. Step 2: Convert to fraction form
   9,749.10/14,619.60 = 3,744.27/x
3. Step 3: Cross multiply
   9,749.10x = 14,619.60 × 3,744.27
4. Step 4: Simplify right side
   9,749.10x = 54,739,729.69
5. Step 5: Solve for x
   x = 54,739,729.69/9,749.10
6. Step 6: Final answer
   x = 5,614.85