Finding the Fourth Proportional to 9,826.80, 13,561.71 and 5,578.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.80 : 13,561.71 = 5,578.59 : x
2. Step 2: Convert to fraction form
   9,826.80/13,561.71 = 5,578.59/x
3. Step 3: Cross multiply
   9,826.80x = 13,561.71 × 5,578.59
4. Step 4: Simplify right side
   9,826.80x = 75,655,219.79
5. Step 5: Solve for x
   x = 75,655,219.79/9,826.80
6. Step 6: Final answer
   x = 7,698.87