Finding the Fourth Proportional to 6,205.57, 8,564.13 and 3,553.09

Step by Step Solution

1. Step 1: Write the proportion equation
   6,205.57 : 8,564.13 = 3,553.09 : x
2. Step 2: Convert to fraction form
   6,205.57/8,564.13 = 3,553.09/x
3. Step 3: Cross multiply
   6,205.57x = 8,564.13 × 3,553.09
4. Step 4: Simplify right side
   6,205.57x = 30,429,103.25
5. Step 5: Solve for x
   x = 30,429,103.25/6,205.57
6. Step 6: Final answer
   x = 4,903.52