Finding the Fourth Proportional to 2,564.60, 3,819.85 and 2,552.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.60 : 3,819.85 = 2,552.72 : x
2. Step 2: Convert to fraction form
   2,564.60/3,819.85 = 2,552.72/x
3. Step 3: Cross multiply
   2,564.60x = 3,819.85 × 2,552.72
4. Step 4: Simplify right side
   2,564.60x = 9,751,007.49
5. Step 5: Solve for x
   x = 9,751,007.49/2,564.60
6. Step 6: Final answer
   x = 3,802.16