Finding the Fourth Proportional to 7,786.50, 10,668.62 and 7,682.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786.50 : 10,668.62 = 7,682.62 : x
2. Step 2: Convert to fraction form
   7,786.50/10,668.62 = 7,682.62/x
3. Step 3: Cross multiply
   7,786.50x = 10,668.62 × 7,682.62
4. Step 4: Simplify right side
   7,786.50x = 81,962,953.38
5. Step 5: Solve for x
   x = 81,962,953.38/7,786.50
6. Step 6: Final answer
   x = 10,526.29