Finding the Fourth Proportional to 6,401.50, 9,606.60 and 2,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,401.50 : 9,606.60 = 2,297.50 : x
2. Step 2: Convert to fraction form
   6,401.50/9,606.60 = 2,297.50/x
3. Step 3: Cross multiply
   6,401.50x = 9,606.60 × 2,297.50
4. Step 4: Simplify right side
   6,401.50x = 22,071,163.50
5. Step 5: Solve for x
   x = 22,071,163.50/6,401.50
6. Step 6: Final answer
   x = 3,447.81