Finding the Fourth Proportional to 6,496.10, 8,965.78 and 3,664.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496.10 : 8,965.78 = 3,664.34 : x
2. Step 2: Convert to fraction form
   6,496.10/8,965.78 = 3,664.34/x
3. Step 3: Cross multiply
   6,496.10x = 8,965.78 × 3,664.34
4. Step 4: Simplify right side
   6,496.10x = 32,853,666.29
5. Step 5: Solve for x
   x = 32,853,666.29/6,496.10
6. Step 6: Final answer
   x = 5,057.44