Finding the Fourth Proportional to 9,406.09, 12,979.89 and 5,426.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.09 : 12,979.89 = 5,426.96 : x
2. Step 2: Convert to fraction form
   9,406.09/12,979.89 = 5,426.96/x
3. Step 3: Cross multiply
   9,406.09x = 12,979.89 × 5,426.96
4. Step 4: Simplify right side
   9,406.09x = 70,441,343.83
5. Step 5: Solve for x
   x = 70,441,343.83/9,406.09
6. Step 6: Final answer
   x = 7,488.91