Finding the Fourth Proportional to 10,174.48, 14,040.40 and 5,698.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.48 : 14,040.40 = 5,698.02 : x
2. Step 2: Convert to fraction form
   10,174.48/14,040.40 = 5,698.02/x
3. Step 3: Cross multiply
   10,174.48x = 14,040.40 × 5,698.02
4. Step 4: Simplify right side
   10,174.48x = 80,002,480.01
5. Step 5: Solve for x
   x = 80,002,480.01/10,174.48
6. Step 6: Final answer
   x = 7,863.05