Finding the Fourth Proportional to 9,456.48, 14,186.82 and 3,613.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456.48 : 14,186.82 = 3,613.14 : x
2. Step 2: Convert to fraction form
   9,456.48/14,186.82 = 3,613.14/x
3. Step 3: Cross multiply
   9,456.48x = 14,186.82 × 3,613.14
4. Step 4: Simplify right side
   9,456.48x = 51,258,966.81
5. Step 5: Solve for x
   x = 51,258,966.81/9,456.48
6. Step 6: Final answer
   x = 5,420.51