Finding the Fourth Proportional to 9,788.98, 13,509.46 and 5,540.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788.98 : 13,509.46 = 5,540.04 : x
2. Step 2: Convert to fraction form
   9,788.98/13,509.46 = 5,540.04/x
3. Step 3: Cross multiply
   9,788.98x = 13,509.46 × 5,540.04
4. Step 4: Simplify right side
   9,788.98x = 74,842,948.78
5. Step 5: Solve for x
   x = 74,842,948.78/9,788.98
6. Step 6: Final answer
   x = 7,645.63