Finding the Fourth Proportional to 10,077.92, 15,123.60 and 3,843.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.92 : 15,123.60 = 3,843.68 : x
2. Step 2: Convert to fraction form
   10,077.92/15,123.60 = 3,843.68/x
3. Step 3: Cross multiply
   10,077.92x = 15,123.60 × 3,843.68
4. Step 4: Simplify right side
   10,077.92x = 58,130,278.85
5. Step 5: Solve for x
   x = 58,130,278.85/10,077.92
6. Step 6: Final answer
   x = 5,768.08