Finding the Fourth Proportional to 9,786.32, 14,661 and 7,584.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.32 : 14,661 = 7,584.27 : x
2. Step 2: Convert to fraction form
   9,786.32/14,661 = 7,584.27/x
3. Step 3: Cross multiply
   9,786.32x = 14,661 × 7,584.27
4. Step 4: Simplify right side
   9,786.32x = 111,192,982.47
5. Step 5: Solve for x
   x = 111,192,982.47/9,786.32
6. Step 6: Final answer
   x = 11,362.09