Finding the Fourth Proportional to 3,819.78, 5,272.23 and 2,564.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,819.78 : 5,272.23 = 2,564.37 : x
2. Step 2: Convert to fraction form
   3,819.78/5,272.23 = 2,564.37/x
3. Step 3: Cross multiply
   3,819.78x = 5,272.23 × 2,564.37
4. Step 4: Simplify right side
   3,819.78x = 13,519,948.45
5. Step 5: Solve for x
   x = 13,519,948.45/3,819.78
6. Step 6: Final answer
   x = 3,539.46