Finding the Fourth Proportional to 9,829.34, 13,564.73 and 5,353.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.34 : 13,564.73 = 5,353.34 : x
2. Step 2: Convert to fraction form
   9,829.34/13,564.73 = 5,353.34/x
3. Step 3: Cross multiply
   9,829.34x = 13,564.73 × 5,353.34
4. Step 4: Simplify right side
   9,829.34x = 72,616,557.26
5. Step 5: Solve for x
   x = 72,616,557.26/9,829.34
6. Step 6: Final answer
   x = 7,387.74