Finding the Fourth Proportional to 6,401.56, 9,606.69 and 3,928.83

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.56 : 9,606.69 = 3,928.83 : x
2. Step 2: Convert to fraction form
   6,401.56/9,606.69 = 3,928.83/x
3. Step 3: Cross multiply
   6,401.56x = 9,606.69 × 3,928.83
4. Step 4: Simplify right side
   6,401.56x = 37,743,051.87
5. Step 5: Solve for x
   x = 37,743,051.87/6,401.56
6. Step 6: Final answer
   x = 5,895.92