Finding the Fourth Proportional to 9,829.68, 13,564.83 and 5,353.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.68 : 13,564.83 = 5,353.31 : x
2. Step 2: Convert to fraction form
   9,829.68/13,564.83 = 5,353.31/x
3. Step 3: Cross multiply
   9,829.68x = 13,564.83 × 5,353.31
4. Step 4: Simplify right side
   9,829.68x = 72,616,740.09
5. Step 5: Solve for x
   x = 72,616,740.09/9,829.68
6. Step 6: Final answer
   x = 7,387.50