Finding the Fourth Proportional to 25,174.80, 37,759.76 and 7,644.78

Step by Step Solution

1. Step 1: Write the proportion equation
   25,174.80 : 37,759.76 = 7,644.78 : x
2. Step 2: Convert to fraction form
   25,174.80/37,759.76 = 7,644.78/x
3. Step 3: Cross multiply
   25,174.80x = 37,759.76 × 7,644.78
4. Step 4: Simplify right side
   25,174.80x = 288,665,019.83
5. Step 5: Solve for x
   x = 288,665,019.83/25,174.80
6. Step 6: Final answer
   x = 11,466.43