Finding the Fourth Proportional to 9,974.35, 13,764.59 and 5,498.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.35 : 13,764.59 = 5,498.17 : x
2. Step 2: Convert to fraction form
   9,974.35/13,764.59 = 5,498.17/x
3. Step 3: Cross multiply
   9,974.35x = 13,764.59 × 5,498.17
4. Step 4: Simplify right side
   9,974.35x = 75,680,114.27
5. Step 5: Solve for x
   x = 75,680,114.27/9,974.35
6. Step 6: Final answer
   x = 7,587.48