Finding the Fourth Proportional to 17,809.38, 24,578.78 and 10,256.00

Step by Step Solution

1. Step 1: Write the proportion equation
   17,809.38 : 24,578.78 = 10,256.00 : x
2. Step 2: Convert to fraction form
   17,809.38/24,578.78 = 10,256.00/x
3. Step 3: Cross multiply
   17,809.38x = 24,578.78 × 10,256.00
4. Step 4: Simplify right side
   17,809.38x = 252,079,793.51
5. Step 5: Solve for x
   x = 252,079,793.51/17,809.38
6. Step 6: Final answer
   x = 14,154.33