Finding the Fourth Proportional to 2,570.60, 3,852.06 and 1,414.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.60 : 3,852.06 = 1,414.76 : x
2. Step 2: Convert to fraction form
   2,570.60/3,852.06 = 1,414.76/x
3. Step 3: Cross multiply
   2,570.60x = 3,852.06 × 1,414.76
4. Step 4: Simplify right side
   2,570.60x = 5,449,740.41
5. Step 5: Solve for x
   x = 5,449,740.41/2,570.60
6. Step 6: Final answer
   x = 2,120.03