Finding the Fourth Proportional to 9,401.57, 12,975.07 and 5,209.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,401.57 : 12,975.07 = 5,209.82 : x
2. Step 2: Convert to fraction form
   9,401.57/12,975.07 = 5,209.82/x
3. Step 3: Cross multiply
   9,401.57x = 12,975.07 × 5,209.82
4. Step 4: Simplify right side
   9,401.57x = 67,597,714.31
5. Step 5: Solve for x
   x = 67,597,714.31/9,401.57
6. Step 6: Final answer
   x = 7,190.05