Finding the Fourth Proportional to 10,564.56, 14,578.38 and 5,849.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.56 : 14,578.38 = 5,849.28 : x
2. Step 2: Convert to fraction form
   10,564.56/14,578.38 = 5,849.28/x
3. Step 3: Cross multiply
   10,564.56x = 14,578.38 × 5,849.28
4. Step 4: Simplify right side
   10,564.56x = 85,273,026.57
5. Step 5: Solve for x
   x = 85,273,026.57/10,564.56
6. Step 6: Final answer
   x = 8,071.61