Finding the Fourth Proportional to 9,974.67, 13,765.04 and 5,498.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.67 : 13,765.04 = 5,498.49 : x
2. Step 2: Convert to fraction form
   9,974.67/13,765.04 = 5,498.49/x
3. Step 3: Cross multiply
   9,974.67x = 13,765.04 × 5,498.49
4. Step 4: Simplify right side
   9,974.67x = 75,686,907.30
5. Step 5: Solve for x
   x = 75,686,907.30/9,974.67
6. Step 6: Final answer
   x = 7,587.91