Finding the Fourth Proportional to 10,561.27, 14,561.31 and 6,777.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561.27 : 14,561.31 = 6,777.76 : x
2. Step 2: Convert to fraction form
   10,561.27/14,561.31 = 6,777.76/x
3. Step 3: Cross multiply
   10,561.27x = 14,561.31 × 6,777.76
4. Step 4: Simplify right side
   10,561.27x = 98,693,064.47
5. Step 5: Solve for x
   x = 98,693,064.47/10,561.27
6. Step 6: Final answer
   x = 9,344.81