Finding the Fourth Proportional to 9,778.56, 14,668.56 and 2,853

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.56 : 14,668.56 = 2,853 : x
2. Step 2: Convert to fraction form
   9,778.56/14,668.56 = 2,853/x
3. Step 3: Cross multiply
   9,778.56x = 14,668.56 × 2,853
4. Step 4: Simplify right side
   9,778.56x = 41,849,401.68
5. Step 5: Solve for x
   x = 41,849,401.68/9,778.56
6. Step 6: Final answer
   x = 4,279.71