Finding the Fourth Proportional to 9,822.28, 13,544.56 and 7,584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822.28 : 13,544.56 = 7,584.52 : x
2. Step 2: Convert to fraction form
   9,822.28/13,544.56 = 7,584.52/x
3. Step 3: Cross multiply
   9,822.28x = 13,544.56 × 7,584.52
4. Step 4: Simplify right side
   9,822.28x = 102,728,986.21
5. Step 5: Solve for x
   x = 102,728,986.21/9,822.28
6. Step 6: Final answer
   x = 10,458.77