Finding the Fourth Proportional to 9,825.85, 13,561.55 and 5,577.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.85 : 13,561.55 = 5,577.31 : x
2. Step 2: Convert to fraction form
   9,825.85/13,561.55 = 5,577.31/x
3. Step 3: Cross multiply
   9,825.85x = 13,561.55 × 5,577.31
4. Step 4: Simplify right side
   9,825.85x = 75,636,968.43
5. Step 5: Solve for x
   x = 75,636,968.43/9,825.85
6. Step 6: Final answer
   x = 7,697.75