Finding the Fourth Proportional to 9,538.29, 13,160.10 and 5,504.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.29 : 13,160.10 = 5,504.80 : x
2. Step 2: Convert to fraction form
   9,538.29/13,160.10 = 5,504.80/x
3. Step 3: Cross multiply
   9,538.29x = 13,160.10 × 5,504.80
4. Step 4: Simplify right side
   9,538.29x = 72,443,660.90
5. Step 5: Solve for x
   x = 72,443,660.90/9,538.29
6. Step 6: Final answer
   x = 7,595.04