Finding the Fourth Proportional to 7,786.72, 10,736.01 and 6,776.92

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786.72 : 10,736.01 = 6,776.92 : x
2. Step 2: Convert to fraction form
   7,786.72/10,736.01 = 6,776.92/x
3. Step 3: Cross multiply
   7,786.72x = 10,736.01 × 6,776.92
4. Step 4: Simplify right side
   7,786.72x = 72,757,080.89
5. Step 5: Solve for x
   x = 72,757,080.89/7,786.72
6. Step 6: Final answer
   x = 9,343.74