Finding the Fourth Proportional to 10,174.70, 14,041.12 and 5,698.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.70 : 14,041.12 = 5,698.53 : x
2. Step 2: Convert to fraction form
   10,174.70/14,041.12 = 5,698.53/x
3. Step 3: Cross multiply
   10,174.70x = 14,041.12 × 5,698.53
4. Step 4: Simplify right side
   10,174.70x = 80,013,743.55
5. Step 5: Solve for x
   x = 80,013,743.55/10,174.70
6. Step 6: Final answer
   x = 7,863.99