Finding the Fourth Proportional to 10,564.67, 14,578.71 and 5,849.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.67 : 14,578.71 = 5,849.26 : x
2. Step 2: Convert to fraction form
   10,564.67/14,578.71 = 5,849.26/x
3. Step 3: Cross multiply
   10,564.67x = 14,578.71 × 5,849.26
4. Step 4: Simplify right side
   10,564.67x = 85,274,665.25
5. Step 5: Solve for x
   x = 85,274,665.25/10,564.67
6. Step 6: Final answer
   x = 8,071.68