Finding the Fourth Proportional to 9,786.56, 14,679.96 and 2,861.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.56 : 14,679.96 = 2,861.20 : x
2. Step 2: Convert to fraction form
   9,786.56/14,679.96 = 2,861.20/x
3. Step 3: Cross multiply
   9,786.56x = 14,679.96 × 2,861.20
4. Step 4: Simplify right side
   9,786.56x = 42,002,301.55
5. Step 5: Solve for x
   x = 42,002,301.55/9,786.56
6. Step 6: Final answer
   x = 4,291.84