Finding the Fourth Proportional to 25,296.89, 37,944.41 and 7,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,296.89 : 37,944.41 = 7,766.25 : x
2. Step 2: Convert to fraction form
   25,296.89/37,944.41 = 7,766.25/x
3. Step 3: Cross multiply
   25,296.89x = 37,944.41 × 7,766.25
4. Step 4: Simplify right side
   25,296.89x = 294,685,735.33
5. Step 5: Solve for x
   x = 294,685,735.33/25,296.89
6. Step 6: Final answer
   x = 11,649.09