Finding the Fourth Proportional to 9,974.67, 13,764.70 and 5,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.67 : 13,764.70 = 5,498.50 : x
2. Step 2: Convert to fraction form
   9,974.67/13,764.70 = 5,498.50/x
3. Step 3: Cross multiply
   9,974.67x = 13,764.70 × 5,498.50
4. Step 4: Simplify right side
   9,974.67x = 75,685,202.95
5. Step 5: Solve for x
   x = 75,685,202.95/9,974.67
6. Step 6: Final answer
   x = 7,587.74