Finding the Fourth Proportional to 9,456.30, 13,049.76 and 5,207.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456.30 : 13,049.76 = 5,207.82 : x
2. Step 2: Convert to fraction form
   9,456.30/13,049.76 = 5,207.82/x
3. Step 3: Cross multiply
   9,456.30x = 13,049.76 × 5,207.82
4. Step 4: Simplify right side
   9,456.30x = 67,960,801.12
5. Step 5: Solve for x
   x = 67,960,801.12/9,456.30
6. Step 6: Final answer
   x = 7,186.83