Finding the Fourth Proportional to 3,977.76, 5,449.92 and 3,830.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,977.76 : 5,449.92 = 3,830.34 : x
2. Step 2: Convert to fraction form
   3,977.76/5,449.92 = 3,830.34/x
3. Step 3: Cross multiply
   3,977.76x = 5,449.92 × 3,830.34
4. Step 4: Simplify right side
   3,977.76x = 20,875,046.57
5. Step 5: Solve for x
   x = 20,875,046.57/3,977.76
6. Step 6: Final answer
   x = 5,247.94