Finding the Fourth Proportional to 9,974.24, 13,763.83 and 5,498.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.24 : 13,763.83 = 5,498.03 : x
2. Step 2: Convert to fraction form
   9,974.24/13,763.83 = 5,498.03/x
3. Step 3: Cross multiply
   9,974.24x = 13,763.83 × 5,498.03
4. Step 4: Simplify right side
   9,974.24x = 75,673,950.25
5. Step 5: Solve for x
   x = 75,673,950.25/9,974.24
6. Step 6: Final answer
   x = 7,586.94