Finding the Fourth Proportional to 6,974.28, 10,461.60 and 3,078.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,974.28 : 10,461.60 = 3,078.72 : x
2. Step 2: Convert to fraction form
   6,974.28/10,461.60 = 3,078.72/x
3. Step 3: Cross multiply
   6,974.28x = 10,461.60 × 3,078.72
4. Step 4: Simplify right side
   6,974.28x = 32,208,337.15
5. Step 5: Solve for x
   x = 32,208,337.15/6,974.28
6. Step 6: Final answer
   x = 4,618.16