Finding the Fourth Proportional to 10,564.13, 14,578.52 and 5,849.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.13 : 14,578.52 = 5,849.12 : x
2. Step 2: Convert to fraction form
   10,564.13/14,578.52 = 5,849.12/x
3. Step 3: Cross multiply
   10,564.13x = 14,578.52 × 5,849.12
4. Step 4: Simplify right side
   10,564.13x = 85,271,410.76
5. Step 5: Solve for x
   x = 85,271,410.76/10,564.13
6. Step 6: Final answer
   x = 8,071.79