Finding the Fourth Proportional to 9,786.75, 14,667.16 and 4,581.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.75 : 14,667.16 = 4,581.69 : x
2. Step 2: Convert to fraction form
   9,786.75/14,667.16 = 4,581.69/x
3. Step 3: Cross multiply
   9,786.75x = 14,667.16 × 4,581.69
4. Step 4: Simplify right side
   9,786.75x = 67,200,380.30
5. Step 5: Solve for x
   x = 67,200,380.30/9,786.75
6. Step 6: Final answer
   x = 6,866.47