Finding the Fourth Proportional to 9,822.69, 13,554.14 and 5,574.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.69 : 13,554.14 = 5,574.24 : x
2. Step 2: Convert to fraction form
   9,822.69/13,554.14 = 5,574.24/x
3. Step 3: Cross multiply
   9,822.69x = 13,554.14 × 5,574.24
4. Step 4: Simplify right side
   9,822.69x = 75,554,001.48
5. Step 5: Solve for x
   x = 75,554,001.48/9,822.69
6. Step 6: Final answer
   x = 7,691.78