Finding the Fourth Proportional to 10,564.80, 14,579.89 and 5,849.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.80 : 14,579.89 = 5,849.09 : x
2. Step 2: Convert to fraction form
   10,564.80/14,579.89 = 5,849.09/x
3. Step 3: Cross multiply
   10,564.80x = 14,579.89 × 5,849.09
4. Step 4: Simplify right side
   10,564.80x = 85,279,006.72
5. Step 5: Solve for x
   x = 85,279,006.72/10,564.80
6. Step 6: Final answer
   x = 8,071.99