Finding the Fourth Proportional to 6,496.23, 8,964.57 and 3,663.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496.23 : 8,964.57 = 3,663.69 : x
2. Step 2: Convert to fraction form
   6,496.23/8,964.57 = 3,663.69/x
3. Step 3: Cross multiply
   6,496.23x = 8,964.57 × 3,663.69
4. Step 4: Simplify right side
   6,496.23x = 32,843,405.46
5. Step 5: Solve for x
   x = 32,843,405.46/6,496.23
6. Step 6: Final answer
   x = 5,055.76