Finding the Fourth Proportional to 10,174.20, 14,040.62 and 5,698.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.20 : 14,040.62 = 5,698.27 : x
2. Step 2: Convert to fraction form
   10,174.20/14,040.62 = 5,698.27/x
3. Step 3: Cross multiply
   10,174.20x = 14,040.62 × 5,698.27
4. Step 4: Simplify right side
   10,174.20x = 80,007,243.73
5. Step 5: Solve for x
   x = 80,007,243.73/10,174.20
6. Step 6: Final answer
   x = 7,863.74