Finding the Fourth Proportional to 10,674.88, 16,004.96 and 5,739.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,674.88 : 16,004.96 = 5,739.56 : x
2. Step 2: Convert to fraction form
   10,674.88/16,004.96 = 5,739.56/x
3. Step 3: Cross multiply
   10,674.88x = 16,004.96 × 5,739.56
4. Step 4: Simplify right side
   10,674.88x = 91,861,428.22
5. Step 5: Solve for x
   x = 91,861,428.22/10,674.88
6. Step 6: Final answer
   x = 8,605.38