Finding the Fourth Proportional to 9,974.61, 13,764.46 and 5,497.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.61 : 13,764.46 = 5,497.56 : x
2. Step 2: Convert to fraction form
   9,974.61/13,764.46 = 5,497.56/x
3. Step 3: Cross multiply
   9,974.61x = 13,764.46 × 5,497.56
4. Step 4: Simplify right side
   9,974.61x = 75,670,944.72
5. Step 5: Solve for x
   x = 75,670,944.72/9,974.61
6. Step 6: Final answer
   x = 7,586.36