Finding the Fourth Proportional to 9,601.60, 13,249.72 and 5,409.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,601.60 : 13,249.72 = 5,409.76 : x
2. Step 2: Convert to fraction form
   9,601.60/13,249.72 = 5,409.76/x
3. Step 3: Cross multiply
   9,601.60x = 13,249.72 × 5,409.76
4. Step 4: Simplify right side
   9,601.60x = 71,677,805.27
5. Step 5: Solve for x
   x = 71,677,805.27/9,601.60
6. Step 6: Final answer
   x = 7,465.19