Finding the Fourth Proportional to 7,227.98, 9,974.49 and 4,084.10

Step by Step Solution

1. Step 1: Write the proportion equation
   7,227.98 : 9,974.49 = 4,084.10 : x
2. Step 2: Convert to fraction form
   7,227.98/9,974.49 = 4,084.10/x
3. Step 3: Cross multiply
   7,227.98x = 9,974.49 × 4,084.10
4. Step 4: Simplify right side
   7,227.98x = 40,736,819.12
5. Step 5: Solve for x
   x = 40,736,819.12/7,227.98
6. Step 6: Final answer
   x = 5,635.99