Finding the Fourth Proportional to 9,825.84, 13,560.16 and 5,577.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.84 : 13,560.16 = 5,577.20 : x
2. Step 2: Convert to fraction form
   9,825.84/13,560.16 = 5,577.20/x
3. Step 3: Cross multiply
   9,825.84x = 13,560.16 × 5,577.20
4. Step 4: Simplify right side
   9,825.84x = 75,627,724.35
5. Step 5: Solve for x
   x = 75,627,724.35/9,825.84
6. Step 6: Final answer
   x = 7,696.82