Finding the Fourth Proportional to 3,828.29, 5,738.34 and 1,978.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.29 : 5,738.34 = 1,978.91 : x
2. Step 2: Convert to fraction form
   3,828.29/5,738.34 = 1,978.91/x
3. Step 3: Cross multiply
   3,828.29x = 5,738.34 × 1,978.91
4. Step 4: Simplify right side
   3,828.29x = 11,355,658.41
5. Step 5: Solve for x
   x = 11,355,658.41/3,828.29
6. Step 6: Final answer
   x = 2,966.25