Finding the Fourth Proportional to 3,828.09, 5,742.81 and 1,978.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,828.09 : 5,742.81 = 1,978.69 : x
2. Step 2: Convert to fraction form
   3,828.09/5,742.81 = 1,978.69/x
3. Step 3: Cross multiply
   3,828.09x = 5,742.81 × 1,978.69
4. Step 4: Simplify right side
   3,828.09x = 11,363,240.72
5. Step 5: Solve for x
   x = 11,363,240.72/3,828.09
6. Step 6: Final answer
   x = 2,968.38