Finding the Fourth Proportional to 3,828.79, 5,738.57 and 1,978.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.79 : 5,738.57 = 1,978.91 : x
2. Step 2: Convert to fraction form
   3,828.79/5,738.57 = 1,978.91/x
3. Step 3: Cross multiply
   3,828.79x = 5,738.57 × 1,978.91
4. Step 4: Simplify right side
   3,828.79x = 11,356,113.56
5. Step 5: Solve for x
   x = 11,356,113.56/3,828.79
6. Step 6: Final answer
   x = 2,965.98