Finding the Fourth Proportional to 10,414.41, 14,372.24 and 5,698.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.41 : 14,372.24 = 5,698.69 : x
2. Step 2: Convert to fraction form
   10,414.41/14,372.24 = 5,698.69/x
3. Step 3: Cross multiply
   10,414.41x = 14,372.24 × 5,698.69
4. Step 4: Simplify right side
   10,414.41x = 81,902,940.37
5. Step 5: Solve for x
   x = 81,902,940.37/10,414.41
6. Step 6: Final answer
   x = 7,864.39