Finding the Fourth Proportional to 37,966.42, 56,949.54 and 10,264.42

Step by Step Solution

1. Step 1: Write the proportion equation
   37,966.42 : 56,949.54 = 10,264.42 : x
2. Step 2: Convert to fraction form
   37,966.42/56,949.54 = 10,264.42/x
3. Step 3: Cross multiply
   37,966.42x = 56,949.54 × 10,264.42
4. Step 4: Simplify right side
   37,966.42x = 584,553,997.37
5. Step 5: Solve for x
   x = 584,553,997.37/37,966.42
6. Step 6: Final answer
   x = 15,396.61