Finding the Fourth Proportional to 2,570.77, 3,547.71 and 1,509.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.77 : 3,547.71 = 1,509.30 : x
2. Step 2: Convert to fraction form
   2,570.77/3,547.71 = 1,509.30/x
3. Step 3: Cross multiply
   2,570.77x = 3,547.71 × 1,509.30
4. Step 4: Simplify right side
   2,570.77x = 5,354,540.96
5. Step 5: Solve for x
   x = 5,354,540.96/2,570.77
6. Step 6: Final answer
   x = 2,082.85