Finding the Fourth Proportional to 10,564.72, 14,579.24 and 5,849.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.72 : 14,579.24 = 5,849.04 : x
2. Step 2: Convert to fraction form
   10,564.72/14,579.24 = 5,849.04/x
3. Step 3: Cross multiply
   10,564.72x = 14,579.24 × 5,849.04
4. Step 4: Simplify right side
   10,564.72x = 85,274,557.93
5. Step 5: Solve for x
   x = 85,274,557.93/10,564.72
6. Step 6: Final answer
   x = 8,071.63