Finding the Fourth Proportional to 3,825.10, 5,749.80 and 3,606.40

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.10 : 5,749.80 = 3,606.40 : x
2. Step 2: Convert to fraction form
   3,825.10/5,749.80 = 3,606.40/x
3. Step 3: Cross multiply
   3,825.10x = 5,749.80 × 3,606.40
4. Step 4: Simplify right side
   3,825.10x = 20,736,078.72
5. Step 5: Solve for x
   x = 20,736,078.72/3,825.10
6. Step 6: Final answer
   x = 5,421.06