Finding the Fourth Proportional to 10,174.31, 14,040.74 and 5,698.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.31 : 14,040.74 = 5,698.00 : x
2. Step 2: Convert to fraction form
   10,174.31/14,040.74 = 5,698.00/x
3. Step 3: Cross multiply
   10,174.31x = 14,040.74 × 5,698.00
4. Step 4: Simplify right side
   10,174.31x = 80,004,089.34
5. Step 5: Solve for x
   x = 80,004,089.34/10,174.31
6. Step 6: Final answer
   x = 7,863.34