Finding the Fourth Proportional to 11,456.66, 17,175.24 and 5,214.49

Step by Step Solution

1. Step 1: Write the proportion equation
   11,456.66 : 17,175.24 = 5,214.49 : x
2. Step 2: Convert to fraction form
   11,456.66/17,175.24 = 5,214.49/x
3. Step 3: Cross multiply
   11,456.66x = 17,175.24 × 5,214.49
4. Step 4: Simplify right side
   11,456.66x = 89,560,074.29
5. Step 5: Solve for x
   x = 89,560,074.29/11,456.66
6. Step 6: Final answer
   x = 7,817.29