Finding the Fourth Proportional to 25,174.52, 37,761.90 and 7,644.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,174.52 : 37,761.90 = 7,644.50 : x
2. Step 2: Convert to fraction form
   25,174.52/37,761.90 = 7,644.50/x
3. Step 3: Cross multiply
   25,174.52x = 37,761.90 × 7,644.50
4. Step 4: Simplify right side
   25,174.52x = 288,670,844.55
5. Step 5: Solve for x
   x = 288,670,844.55/25,174.52
6. Step 6: Final answer
   x = 11,466.79