Finding the Fourth Proportional to 9,401.69, 12,974.48 and 5,153.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.69 : 12,974.48 = 5,153.15 : x
2. Step 2: Convert to fraction form
   9,401.69/12,974.48 = 5,153.15/x
3. Step 3: Cross multiply
   9,401.69x = 12,974.48 × 5,153.15
4. Step 4: Simplify right side
   9,401.69x = 66,859,467.61
5. Step 5: Solve for x
   x = 66,859,467.61/9,401.69
6. Step 6: Final answer
   x = 7,111.43