Finding the Fourth Proportional to 6,411.37, 9,604.59 and 4,213.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,411.37 : 9,604.59 = 4,213.42 : x
2. Step 2: Convert to fraction form
   6,411.37/9,604.59 = 4,213.42/x
3. Step 3: Cross multiply
   6,411.37x = 9,604.59 × 4,213.42
4. Step 4: Simplify right side
   6,411.37x = 40,468,171.60
5. Step 5: Solve for x
   x = 40,468,171.60/6,411.37
6. Step 6: Final answer
   x = 6,311.94