Finding the Fourth Proportional to 9,786.21, 14,680.17 and 2,766.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.21 : 14,680.17 = 2,766.30 : x
2. Step 2: Convert to fraction form
   9,786.21/14,680.17 = 2,766.30/x
3. Step 3: Cross multiply
   9,786.21x = 14,680.17 × 2,766.30
4. Step 4: Simplify right side
   9,786.21x = 40,609,754.27
5. Step 5: Solve for x
   x = 40,609,754.27/9,786.21
6. Step 6: Final answer
   x = 4,149.69