Finding the Fourth Proportional to 10,679.64, 16,012.09 and 5,744.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,679.64 : 16,012.09 = 5,744.31 : x
2. Step 2: Convert to fraction form
   10,679.64/16,012.09 = 5,744.31/x
3. Step 3: Cross multiply
   10,679.64x = 16,012.09 × 5,744.31
4. Step 4: Simplify right side
   10,679.64x = 91,978,408.71
5. Step 5: Solve for x
   x = 91,978,408.71/10,679.64
6. Step 6: Final answer
   x = 8,612.50