Finding the Fourth Proportional to 9,809.83, 13,537.29 and 5,561.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,809.83 : 13,537.29 = 5,561.29 : x
2. Step 2: Convert to fraction form
   9,809.83/13,537.29 = 5,561.29/x
3. Step 3: Cross multiply
   9,809.83x = 13,537.29 × 5,561.29
4. Step 4: Simplify right side
   9,809.83x = 75,284,833.28
5. Step 5: Solve for x
   x = 75,284,833.28/9,809.83
6. Step 6: Final answer
   x = 7,674.43