Finding the Fourth Proportional to 10,216.39, 14,096.82 and 5,740.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.39 : 14,096.82 = 5,740.33 : x
2. Step 2: Convert to fraction form
   10,216.39/14,096.82 = 5,740.33/x
3. Step 3: Cross multiply
   10,216.39x = 14,096.82 × 5,740.33
4. Step 4: Simplify right side
   10,216.39x = 80,920,398.75
5. Step 5: Solve for x
   x = 80,920,398.75/10,216.39
6. Step 6: Final answer
   x = 7,920.65