Finding the Fourth Proportional to 9,974.78, 13,764.64 and 5,498.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.78 : 13,764.64 = 5,498.52 : x
2. Step 2: Convert to fraction form
   9,974.78/13,764.64 = 5,498.52/x
3. Step 3: Cross multiply
   9,974.78x = 13,764.64 × 5,498.52
4. Step 4: Simplify right side
   9,974.78x = 75,685,134.59
5. Step 5: Solve for x
   x = 75,685,134.59/9,974.78
6. Step 6: Final answer
   x = 7,587.65