Finding the Fourth Proportional to 9,809.29, 14,709.33 and 3,564.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,809.29 : 14,709.33 = 3,564.90 : x
2. Step 2: Convert to fraction form
   9,809.29/14,709.33 = 3,564.90/x
3. Step 3: Cross multiply
   9,809.29x = 14,709.33 × 3,564.90
4. Step 4: Simplify right side
   9,809.29x = 52,437,290.52
5. Step 5: Solve for x
   x = 52,437,290.52/9,809.29
6. Step 6: Final answer
   x = 5,345.68