Finding the Fourth Proportional to 10,174.17, 14,039.66 and 5,697.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.17 : 14,039.66 = 5,697.89 : x
2. Step 2: Convert to fraction form
   10,174.17/14,039.66 = 5,697.89/x
3. Step 3: Cross multiply
   10,174.17x = 14,039.66 × 5,697.89
4. Step 4: Simplify right side
   10,174.17x = 79,996,339.63
5. Step 5: Solve for x
   x = 79,996,339.63/10,174.17
6. Step 6: Final answer
   x = 7,862.69