Finding the Fourth Proportional to 9,974.17, 13,763.82 and 5,497.03

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.17 : 13,763.82 = 5,497.03 : x
2. Step 2: Convert to fraction form
   9,974.17/13,763.82 = 5,497.03/x
3. Step 3: Cross multiply
   9,974.17x = 13,763.82 × 5,497.03
4. Step 4: Simplify right side
   9,974.17x = 75,660,131.45
5. Step 5: Solve for x
   x = 75,660,131.45/9,974.17
6. Step 6: Final answer
   x = 7,585.61