Finding the Fourth Proportional to 9,974.30, 13,764.34 and 5,498.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.30 : 13,764.34 = 5,498.48 : x
2. Step 2: Convert to fraction form
   9,974.30/13,764.34 = 5,498.48/x
3. Step 3: Cross multiply
   9,974.30x = 13,764.34 × 5,498.48
4. Step 4: Simplify right side
   9,974.30x = 75,682,948.20
5. Step 5: Solve for x
   x = 75,682,948.20/9,974.30
6. Step 6: Final answer
   x = 7,587.80