Finding the Fourth Proportional to 9,827.33, 13,561.80 and 5,578.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,827.33 : 13,561.80 = 5,578.27 : x
2. Step 2: Convert to fraction form
   9,827.33/13,561.80 = 5,578.27/x
3. Step 3: Cross multiply
   9,827.33x = 13,561.80 × 5,578.27
4. Step 4: Simplify right side
   9,827.33x = 75,651,327.26
5. Step 5: Solve for x
   x = 75,651,327.26/9,827.33
6. Step 6: Final answer
   x = 7,698.06