Finding the Fourth Proportional to 3,821.88, 5,271.32 and 2,564.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,821.88 : 5,271.32 = 2,564.34 : x
2. Step 2: Convert to fraction form
   3,821.88/5,271.32 = 2,564.34/x
3. Step 3: Cross multiply
   3,821.88x = 5,271.32 × 2,564.34
4. Step 4: Simplify right side
   3,821.88x = 13,517,456.73
5. Step 5: Solve for x
   x = 13,517,456.73/3,821.88
6. Step 6: Final answer
   x = 3,536.86