Finding the Fourth Proportional to 10,564.83, 14,579.73 and 5,849.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.83 : 14,579.73 = 5,849.28 : x
2. Step 2: Convert to fraction form
   10,564.83/14,579.73 = 5,849.28/x
3. Step 3: Cross multiply
   10,564.83x = 14,579.73 × 5,849.28
4. Step 4: Simplify right side
   10,564.83x = 85,280,923.09
5. Step 5: Solve for x
   x = 85,280,923.09/10,564.83
6. Step 6: Final answer
   x = 8,072.15