Finding the Fourth Proportional to 9,666.96, 13,340.39 and 5,418.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.96 : 13,340.39 = 5,418.05 : x
2. Step 2: Convert to fraction form
   9,666.96/13,340.39 = 5,418.05/x
3. Step 3: Cross multiply
   9,666.96x = 13,340.39 × 5,418.05
4. Step 4: Simplify right side
   9,666.96x = 72,278,906.30
5. Step 5: Solve for x
   x = 72,278,906.30/9,666.96
6. Step 6: Final answer
   x = 7,476.90