Finding the Fourth Proportional to 2,570.64, 3,835.12 and 2,359.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.64 : 3,835.12 = 2,359.20 : x
2. Step 2: Convert to fraction form
   2,570.64/3,835.12 = 2,359.20/x
3. Step 3: Cross multiply
   2,570.64x = 3,835.12 × 2,359.20
4. Step 4: Simplify right side
   2,570.64x = 9,047,815.10
5. Step 5: Solve for x
   x = 9,047,815.10/2,570.64
6. Step 6: Final answer
   x = 3,519.67