Finding the Fourth Proportional to 9,601.49, 13,249.86 and 5,409.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,601.49 : 13,249.86 = 5,409.74 : x
2. Step 2: Convert to fraction form
   9,601.49/13,249.86 = 5,409.74/x
3. Step 3: Cross multiply
   9,601.49x = 13,249.86 × 5,409.74
4. Step 4: Simplify right side
   9,601.49x = 71,678,297.64
5. Step 5: Solve for x
   x = 71,678,297.64/9,601.49
6. Step 6: Final answer
   x = 7,465.33