Finding the Fourth Proportional to 9,974.66, 13,765.33 and 5,498.70

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.66 : 13,765.33 = 5,498.70 : x
2. Step 2: Convert to fraction form
   9,974.66/13,765.33 = 5,498.70/x
3. Step 3: Cross multiply
   9,974.66x = 13,765.33 × 5,498.70
4. Step 4: Simplify right side
   9,974.66x = 75,691,421.82
5. Step 5: Solve for x
   x = 75,691,421.82/9,974.66
6. Step 6: Final answer
   x = 7,588.37