Finding the Fourth Proportional to 10,216.02, 14,097.42 and 5,740.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.02 : 14,097.42 = 5,740.20 : x
2. Step 2: Convert to fraction form
   10,216.02/14,097.42 = 5,740.20/x
3. Step 3: Cross multiply
   10,216.02x = 14,097.42 × 5,740.20
4. Step 4: Simplify right side
   10,216.02x = 80,922,010.28
5. Step 5: Solve for x
   x = 80,922,010.28/10,216.02
6. Step 6: Final answer
   x = 7,921.09