Finding the Fourth Proportional to 9,749.60, 14,629.20 and 3,906.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,749.60 : 14,629.20 = 3,906.40 : x
2. Step 2: Convert to fraction form
   9,749.60/14,629.20 = 3,906.40/x
3. Step 3: Cross multiply
   9,749.60x = 14,629.20 × 3,906.40
4. Step 4: Simplify right side
   9,749.60x = 57,147,506.88
5. Step 5: Solve for x
   x = 57,147,506.88/9,749.60
6. Step 6: Final answer
   x = 5,861.52