Finding the Fourth Proportional to 2,564.01, 3,538.79 and 2,447.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.01 : 3,538.79 = 2,447.15 : x
2. Step 2: Convert to fraction form
   2,564.01/3,538.79 = 2,447.15/x
3. Step 3: Cross multiply
   2,564.01x = 3,538.79 × 2,447.15
4. Step 4: Simplify right side
   2,564.01x = 8,659,929.20
5. Step 5: Solve for x
   x = 8,659,929.20/2,564.01
6. Step 6: Final answer
   x = 3,377.49