Finding the Fourth Proportional to 9,825.62, 13,561.23 and 5,577.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.62 : 13,561.23 = 5,577.08 : x
2. Step 2: Convert to fraction form
   9,825.62/13,561.23 = 5,577.08/x
3. Step 3: Cross multiply
   9,825.62x = 13,561.23 × 5,577.08
4. Step 4: Simplify right side
   9,825.62x = 75,632,062.63
5. Step 5: Solve for x
   x = 75,632,062.63/9,825.62
6. Step 6: Final answer
   x = 7,697.43