Finding the Fourth Proportional to 9,825.84, 13,559.34 and 5,577.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825.84 : 13,559.34 = 5,577.24 : x
2. Step 2: Convert to fraction form
   9,825.84/13,559.34 = 5,577.24/x
3. Step 3: Cross multiply
   9,825.84x = 13,559.34 × 5,577.24
4. Step 4: Simplify right side
   9,825.84x = 75,623,693.42
5. Step 5: Solve for x
   x = 75,623,693.42/9,825.84
6. Step 6: Final answer
   x = 7,696.41