Finding the Fourth Proportional to 10,216.82, 14,097.62 and 5,739.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.82 : 14,097.62 = 5,739.71 : x
2. Step 2: Convert to fraction form
   10,216.82/14,097.62 = 5,739.71/x
3. Step 3: Cross multiply
   10,216.82x = 14,097.62 × 5,739.71
4. Step 4: Simplify right side
   10,216.82x = 80,916,151.30
5. Step 5: Solve for x
   x = 80,916,151.30/10,216.82
6. Step 6: Final answer
   x = 7,919.90