Finding the Fourth Proportional to 10,414.69, 14,372.27 and 5,698.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.69 : 14,372.27 = 5,698.97 : x
2. Step 2: Convert to fraction form
   10,414.69/14,372.27 = 5,698.97/x
3. Step 3: Cross multiply
   10,414.69x = 14,372.27 × 5,698.97
4. Step 4: Simplify right side
   10,414.69x = 81,907,135.56
5. Step 5: Solve for x
   x = 81,907,135.56/10,414.69
6. Step 6: Final answer
   x = 7,864.58