Finding the Fourth Proportional to 9,666.84, 13,340.24 and 5,417.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666.84 : 13,340.24 = 5,417.94 : x
2. Step 2: Convert to fraction form
   9,666.84/13,340.24 = 5,417.94/x
3. Step 3: Cross multiply
   9,666.84x = 13,340.24 × 5,417.94
4. Step 4: Simplify right side
   9,666.84x = 72,276,619.91
5. Step 5: Solve for x
   x = 72,276,619.91/9,666.84
6. Step 6: Final answer
   x = 7,476.76