Finding the Fourth Proportional to 9,540, 13,165.29 and 5,348.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540 : 13,165.29 = 5,348.34 : x
2. Step 2: Convert to fraction form
   9,540/13,165.29 = 5,348.34/x
3. Step 3: Cross multiply
   9,540x = 13,165.29 × 5,348.34
4. Step 4: Simplify right side
   9,540x = 70,412,447.12
5. Step 5: Solve for x
   x = 70,412,447.12/9,540
6. Step 6: Final answer
   x = 7,380.76