Finding the Fourth Proportional to 11,578.06, 17,369.82 and 5,006.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578.06 : 17,369.82 = 5,006.14 : x
2. Step 2: Convert to fraction form
   11,578.06/17,369.82 = 5,006.14/x
3. Step 3: Cross multiply
   11,578.06x = 17,369.82 × 5,006.14
4. Step 4: Simplify right side
   11,578.06x = 86,955,750.69
5. Step 5: Solve for x
   x = 86,955,750.69/11,578.06
6. Step 6: Final answer
   x = 7,510.39