Finding the Fourth Proportional to 17,142.35, 25,710.39 and 7,780.14

Step by Step Solution

1. Step 1: Write the proportion equation
   17,142.35 : 25,710.39 = 7,780.14 : x
2. Step 2: Convert to fraction form
   17,142.35/25,710.39 = 7,780.14/x
3. Step 3: Cross multiply
   17,142.35x = 25,710.39 × 7,780.14
4. Step 4: Simplify right side
   17,142.35x = 200,030,433.65
5. Step 5: Solve for x
   x = 200,030,433.65/17,142.35
6. Step 6: Final answer
   x = 11,668.79