Finding the Fourth Proportional to 10,564.02, 14,578.57 and 5,784.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.02 : 14,578.57 = 5,784.17 : x
2. Step 2: Convert to fraction form
   10,564.02/14,578.57 = 5,784.17/x
3. Step 3: Cross multiply
   10,564.02x = 14,578.57 × 5,784.17
4. Step 4: Simplify right side
   10,564.02x = 84,324,861.57
5. Step 5: Solve for x
   x = 84,324,861.57/10,564.02
6. Step 6: Final answer
   x = 7,982.27