Finding the Fourth Proportional to 10,414.91, 14,372.57 and 5,699.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.91 : 14,372.57 = 5,699.19 : x
2. Step 2: Convert to fraction form
   10,414.91/14,372.57 = 5,699.19/x
3. Step 3: Cross multiply
   10,414.91x = 14,372.57 × 5,699.19
4. Step 4: Simplify right side
   10,414.91x = 81,912,007.22
5. Step 5: Solve for x
   x = 81,912,007.22/10,414.91
6. Step 6: Final answer
   x = 7,864.88