Finding the Fourth Proportional to 9,974.15, 13,763.78 and 5,497.55

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.15 : 13,763.78 = 5,497.55 : x
2. Step 2: Convert to fraction form
   9,974.15/13,763.78 = 5,497.55/x
3. Step 3: Cross multiply
   9,974.15x = 13,763.78 × 5,497.55
4. Step 4: Simplify right side
   9,974.15x = 75,666,999.92
5. Step 5: Solve for x
   x = 75,666,999.92/9,974.15
6. Step 6: Final answer
   x = 7,586.31