Finding the Fourth Proportional to 6,496.57, 8,966.33 and 4,829.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496.57 : 8,966.33 = 4,829.05 : x
2. Step 2: Convert to fraction form
   6,496.57/8,966.33 = 4,829.05/x
3. Step 3: Cross multiply
   6,496.57x = 8,966.33 × 4,829.05
4. Step 4: Simplify right side
   6,496.57x = 43,298,855.89
5. Step 5: Solve for x
   x = 43,298,855.89/6,496.57
6. Step 6: Final answer
   x = 6,664.88