Finding the Fourth Proportional to 9,974.82, 13,765.35 and 5,498.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.82 : 13,765.35 = 5,498.73 : x
2. Step 2: Convert to fraction form
   9,974.82/13,765.35 = 5,498.73/x
3. Step 3: Cross multiply
   9,974.82x = 13,765.35 × 5,498.73
4. Step 4: Simplify right side
   9,974.82x = 75,691,963.67
5. Step 5: Solve for x
   x = 75,691,963.67/9,974.82
6. Step 6: Final answer
   x = 7,588.30