Finding the Fourth Proportional to 9,829.49, 13,564.46 and 5,353.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.49 : 13,564.46 = 5,353.22 : x
2. Step 2: Convert to fraction form
   9,829.49/13,564.46 = 5,353.22/x
3. Step 3: Cross multiply
   9,829.49x = 13,564.46 × 5,353.22
4. Step 4: Simplify right side
   9,829.49x = 72,613,585.86
5. Step 5: Solve for x
   x = 72,613,585.86/9,829.49
6. Step 6: Final answer
   x = 7,387.32