Finding the Fourth Proportional to 10,174.64, 14,040.72 and 5,698.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.64 : 14,040.72 = 5,698.80 : x
2. Step 2: Convert to fraction form
   10,174.64/14,040.72 = 5,698.80/x
3. Step 3: Cross multiply
   10,174.64x = 14,040.72 × 5,698.80
4. Step 4: Simplify right side
   10,174.64x = 80,015,255.14
5. Step 5: Solve for x
   x = 80,015,255.14/10,174.64
6. Step 6: Final answer
   x = 7,864.19