Finding the Fourth Proportional to 6,409.48, 9,606.12 and 3,123.60

Step by Step Solution

1. Step 1: Write the proportion equation
   6,409.48 : 9,606.12 = 3,123.60 : x
2. Step 2: Convert to fraction form
   6,409.48/9,606.12 = 3,123.60/x
3. Step 3: Cross multiply
   6,409.48x = 9,606.12 × 3,123.60
4. Step 4: Simplify right side
   6,409.48x = 30,005,676.43
5. Step 5: Solve for x
   x = 30,005,676.43/6,409.48
6. Step 6: Final answer
   x = 4,681.45