Finding the Fourth Proportional to 10,708.16, 16,064.68 and 5,777.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,708.16 : 16,064.68 = 5,777.69 : x
2. Step 2: Convert to fraction form
   10,708.16/16,064.68 = 5,777.69/x
3. Step 3: Cross multiply
   10,708.16x = 16,064.68 × 5,777.69
4. Step 4: Simplify right side
   10,708.16x = 92,816,766.71
5. Step 5: Solve for x
   x = 92,816,766.71/10,708.16
6. Step 6: Final answer
   x = 8,667.85