Finding the Fourth Proportional to 9,827.69, 13,561.04 and 5,579.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.69 : 13,561.04 = 5,579.24 : x
2. Step 2: Convert to fraction form
   9,827.69/13,561.04 = 5,579.24/x
3. Step 3: Cross multiply
   9,827.69x = 13,561.04 × 5,579.24
4. Step 4: Simplify right side
   9,827.69x = 75,660,268.91
5. Step 5: Solve for x
   x = 75,660,268.91/9,827.69
6. Step 6: Final answer
   x = 7,698.68