Finding the Fourth Proportional to 9,666.08, 13,340.24 and 5,417.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.08 : 13,340.24 = 5,417.82 : x
2. Step 2: Convert to fraction form
   9,666.08/13,340.24 = 5,417.82/x
3. Step 3: Cross multiply
   9,666.08x = 13,340.24 × 5,417.82
4. Step 4: Simplify right side
   9,666.08x = 72,275,019.08
5. Step 5: Solve for x
   x = 72,275,019.08/9,666.08
6. Step 6: Final answer
   x = 7,477.18