Finding the Fourth Proportional to 10,216.26, 14,097.68 and 5,739.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.26 : 14,097.68 = 5,739.15 : x
2. Step 2: Convert to fraction form
   10,216.26/14,097.68 = 5,739.15/x
3. Step 3: Cross multiply
   10,216.26x = 14,097.68 × 5,739.15
4. Step 4: Simplify right side
   10,216.26x = 80,908,745.86
5. Step 5: Solve for x
   x = 80,908,745.86/10,216.26
6. Step 6: Final answer
   x = 7,919.61