Finding the Fourth Proportional to 76,976, 106,227.20 and 41,648

Step by Step Solution

1. Step 1: Write the proportion equation
   76,976 : 106,227.20 = 41,648 : x
2. Step 2: Convert to fraction form
   76,976/106,227.20 = 41,648/x
3. Step 3: Cross multiply
   76,976x = 106,227.20 × 41,648
4. Step 4: Simplify right side
   76,976x = 4,424,150,425.60
5. Step 5: Solve for x
   x = 4,424,150,425.60/76,976
6. Step 6: Final answer
   x = 57,474.41