Finding the Fourth Proportional to 9,828.19, 13,561.89 and 5,577.91

Step by Step Solution

1. Step 1: Write the proportion equation
   9,828.19 : 13,561.89 = 5,577.91 : x
2. Step 2: Convert to fraction form
   9,828.19/13,561.89 = 5,577.91/x
3. Step 3: Cross multiply
   9,828.19x = 13,561.89 × 5,577.91
4. Step 4: Simplify right side
   9,828.19x = 75,647,001.85
5. Step 5: Solve for x
   x = 75,647,001.85/9,828.19
6. Step 6: Final answer
   x = 7,696.94