Finding the Fourth Proportional to 9,828.27, 13,559.67 and 5,578.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.27 : 13,559.67 = 5,578.74 : x
2. Step 2: Convert to fraction form
   9,828.27/13,559.67 = 5,578.74/x
3. Step 3: Cross multiply
   9,828.27x = 13,559.67 × 5,578.74
4. Step 4: Simplify right side
   9,828.27x = 75,645,873.42
5. Step 5: Solve for x
   x = 75,645,873.42/9,828.27
6. Step 6: Final answer
   x = 7,696.76