Finding the Fourth Proportional to 9,884.82, 13,641.09 and 5,408.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.82 : 13,641.09 = 5,408.61 : x
2. Step 2: Convert to fraction form
   9,884.82/13,641.09 = 5,408.61/x
3. Step 3: Cross multiply
   9,884.82x = 13,641.09 × 5,408.61
4. Step 4: Simplify right side
   9,884.82x = 73,779,335.78
5. Step 5: Solve for x
   x = 73,779,335.78/9,884.82
6. Step 6: Final answer
   x = 7,463.90