Finding the Fourth Proportional to 6,446.20, 9,663.72 and 3,843.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,446.20 : 9,663.72 = 3,843.67 : x
2. Step 2: Convert to fraction form
   6,446.20/9,663.72 = 3,843.67/x
3. Step 3: Cross multiply
   6,446.20x = 9,663.72 × 3,843.67
4. Step 4: Simplify right side
   6,446.20x = 37,144,150.65
5. Step 5: Solve for x
   x = 37,144,150.65/6,446.20
6. Step 6: Final answer
   x = 5,762.18