Finding the Fourth Proportional to 9,974.23, 13,764.72 and 5,498.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.23 : 13,764.72 = 5,498.27 : x
2. Step 2: Convert to fraction form
   9,974.23/13,764.72 = 5,498.27/x
3. Step 3: Cross multiply
   9,974.23x = 13,764.72 × 5,498.27
4. Step 4: Simplify right side
   9,974.23x = 75,682,078.21
5. Step 5: Solve for x
   x = 75,682,078.21/9,974.23
6. Step 6: Final answer
   x = 7,587.77