Finding the Fourth Proportional to 25,256.64, 37,890.42 and 9,674.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,256.64 : 37,890.42 = 9,674.25 : x
2. Step 2: Convert to fraction form
   25,256.64/37,890.42 = 9,674.25/x
3. Step 3: Cross multiply
   25,256.64x = 37,890.42 × 9,674.25
4. Step 4: Simplify right side
   25,256.64x = 366,561,395.69
5. Step 5: Solve for x
   x = 366,561,395.69/25,256.64
6. Step 6: Final answer
   x = 14,513.47