Finding the Fourth Proportional to 9,974.55, 13,764.29 and 5,498.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.55 : 13,764.29 = 5,498.49 : x
2. Step 2: Convert to fraction form
   9,974.55/13,764.29 = 5,498.49/x
3. Step 3: Cross multiply
   9,974.55x = 13,764.29 × 5,498.49
4. Step 4: Simplify right side
   9,974.55x = 75,682,783.43
5. Step 5: Solve for x
   x = 75,682,783.43/9,974.55
6. Step 6: Final answer
   x = 7,587.59