Finding the Fourth Proportional to 9,829.45, 13,564.71 and 5,353.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.45 : 13,564.71 = 5,353.20 : x
2. Step 2: Convert to fraction form
   9,829.45/13,564.71 = 5,353.20/x
3. Step 3: Cross multiply
   9,829.45x = 13,564.71 × 5,353.20
4. Step 4: Simplify right side
   9,829.45x = 72,614,605.57
5. Step 5: Solve for x
   x = 72,614,605.57/9,829.45
6. Step 6: Final answer
   x = 7,387.45