Finding the Fourth Proportional to 9,974.34, 13,764.42 and 5,498.08

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.34 : 13,764.42 = 5,498.08 : x
2. Step 2: Convert to fraction form
   9,974.34/13,764.42 = 5,498.08/x
3. Step 3: Cross multiply
   9,974.34x = 13,764.42 × 5,498.08
4. Step 4: Simplify right side
   9,974.34x = 75,677,847.90
5. Step 5: Solve for x
   x = 75,677,847.90/9,974.34
6. Step 6: Final answer
   x = 7,587.25