Finding the Fourth Proportional to 9,386.86, 12,954.51 and 5,409.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,386.86 : 12,954.51 = 5,409.10 : x
2. Step 2: Convert to fraction form
   9,386.86/12,954.51 = 5,409.10/x
3. Step 3: Cross multiply
   9,386.86x = 12,954.51 × 5,409.10
4. Step 4: Simplify right side
   9,386.86x = 70,072,240.04
5. Step 5: Solve for x
   x = 70,072,240.04/9,386.86
6. Step 6: Final answer
   x = 7,464.93