Finding the Fourth Proportional to 2,570.22, 3,547.56 and 1,640.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.22 : 3,547.56 = 1,640.34 : x
2. Step 2: Convert to fraction form
   2,570.22/3,547.56 = 1,640.34/x
3. Step 3: Cross multiply
   2,570.22x = 3,547.56 × 1,640.34
4. Step 4: Simplify right side
   2,570.22x = 5,819,204.57
5. Step 5: Solve for x
   x = 5,819,204.57/2,570.22
6. Step 6: Final answer
   x = 2,264.09