Finding the Fourth Proportional to 10,174, 14,039.12 and 5,697.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174 : 14,039.12 = 5,697.52 : x
2. Step 2: Convert to fraction form
   10,174/14,039.12 = 5,697.52/x
3. Step 3: Cross multiply
   10,174x = 14,039.12 × 5,697.52
4. Step 4: Simplify right side
   10,174x = 79,988,166.98
5. Step 5: Solve for x
   x = 79,988,166.98/10,174
6. Step 6: Final answer
   x = 7,862.02