Finding the Fourth Proportional to 9,666.91, 13,340.16 and 5,417.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.91 : 13,340.16 = 5,417.96 : x
2. Step 2: Convert to fraction form
   9,666.91/13,340.16 = 5,417.96/x
3. Step 3: Cross multiply
   9,666.91x = 13,340.16 × 5,417.96
4. Step 4: Simplify right side
   9,666.91x = 72,276,386.57
5. Step 5: Solve for x
   x = 72,276,386.57/9,666.91
6. Step 6: Final answer
   x = 7,476.68