Finding the Fourth Proportional to 4,969.38, 6,854.88 and 2,978.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,969.38 : 6,854.88 = 2,978.78 : x
2. Step 2: Convert to fraction form
   4,969.38/6,854.88 = 2,978.78/x
3. Step 3: Cross multiply
   4,969.38x = 6,854.88 × 2,978.78
4. Step 4: Simplify right side
   4,969.38x = 20,419,139.59
5. Step 5: Solve for x
   x = 20,419,139.59/4,969.38
6. Step 6: Final answer
   x = 4,109.00