Finding the Fourth Proportional to 2,565.36, 3,538.50 and 1,570.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.36 : 3,538.50 = 1,570.20 : x
2. Step 2: Convert to fraction form
   2,565.36/3,538.50 = 1,570.20/x
3. Step 3: Cross multiply
   2,565.36x = 3,538.50 × 1,570.20
4. Step 4: Simplify right side
   2,565.36x = 5,556,152.70
5. Step 5: Solve for x
   x = 5,556,152.70/2,565.36
6. Step 6: Final answer
   x = 2,165.84