Finding the Fourth Proportional to 2,570.64, 3,852.72 and 1,415.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.64 : 3,852.72 = 1,415.04 : x
2. Step 2: Convert to fraction form
   2,570.64/3,852.72 = 1,415.04/x
3. Step 3: Cross multiply
   2,570.64x = 3,852.72 × 1,415.04
4. Step 4: Simplify right side
   2,570.64x = 5,451,752.91
5. Step 5: Solve for x
   x = 5,451,752.91/2,570.64
6. Step 6: Final answer
   x = 2,120.78