Finding the Fourth Proportional to 9,540.80, 13,166.30 and 5,349.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540.80 : 13,166.30 = 5,349.05 : x
2. Step 2: Convert to fraction form
   9,540.80/13,166.30 = 5,349.05/x
3. Step 3: Cross multiply
   9,540.80x = 13,166.30 × 5,349.05
4. Step 4: Simplify right side
   9,540.80x = 70,427,170.27
5. Step 5: Solve for x
   x = 70,427,170.27/9,540.80
6. Step 6: Final answer
   x = 7,381.68