Finding the Fourth Proportional to 25,760.39, 38,654.27 and 10,178.15

Step by Step Solution

1. Step 1: Write the proportion equation
   25,760.39 : 38,654.27 = 10,178.15 : x
2. Step 2: Convert to fraction form
   25,760.39/38,654.27 = 10,178.15/x
3. Step 3: Cross multiply
   25,760.39x = 38,654.27 × 10,178.15
4. Step 4: Simplify right side
   25,760.39x = 393,428,907.31
5. Step 5: Solve for x
   x = 393,428,907.31/25,760.39
6. Step 6: Final answer
   x = 15,272.63