Finding the Fourth Proportional to 9,974.49, 13,764.63 and 5,498.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.49 : 13,764.63 = 5,498.22 : x
2. Step 2: Convert to fraction form
   9,974.49/13,764.63 = 5,498.22/x
3. Step 3: Cross multiply
   9,974.49x = 13,764.63 × 5,498.22
4. Step 4: Simplify right side
   9,974.49x = 75,680,963.96
5. Step 5: Solve for x
   x = 75,680,963.96/9,974.49
6. Step 6: Final answer
   x = 7,587.45