Finding the Fourth Proportional to 2,564.62, 3,538.92 and 1,570.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.62 : 3,538.92 = 1,570.18 : x
2. Step 2: Convert to fraction form
   2,564.62/3,538.92 = 1,570.18/x
3. Step 3: Cross multiply
   2,564.62x = 3,538.92 × 1,570.18
4. Step 4: Simplify right side
   2,564.62x = 5,556,741.41
5. Step 5: Solve for x
   x = 5,556,741.41/2,564.62
6. Step 6: Final answer
   x = 2,166.69