Finding the Fourth Proportional to 9,767.89, 13,471 and 7,668.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,767.89 : 13,471 = 7,668.37 : x
2. Step 2: Convert to fraction form
   9,767.89/13,471 = 7,668.37/x
3. Step 3: Cross multiply
   9,767.89x = 13,471 × 7,668.37
4. Step 4: Simplify right side
   9,767.89x = 103,300,612.27
5. Step 5: Solve for x
   x = 103,300,612.27/9,767.89
6. Step 6: Final answer
   x = 10,575.53