Finding the Fourth Proportional to 25,298.10, 37,945.71 and 7,767.87

Step by Step Solution

1. Step 1: Write the proportion equation
   25,298.10 : 37,945.71 = 7,767.87 : x
2. Step 2: Convert to fraction form
   25,298.10/37,945.71 = 7,767.87/x
3. Step 3: Cross multiply
   25,298.10x = 37,945.71 × 7,767.87
4. Step 4: Simplify right side
   25,298.10x = 294,757,342.34
5. Step 5: Solve for x
   x = 294,757,342.34/25,298.10
6. Step 6: Final answer
   x = 11,651.36