Finding the Fourth Proportional to 2,580.10, 3,871.57 and 1,410.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.10 : 3,871.57 = 1,410.06 : x
2. Step 2: Convert to fraction form
   2,580.10/3,871.57 = 1,410.06/x
3. Step 3: Cross multiply
   2,580.10x = 3,871.57 × 1,410.06
4. Step 4: Simplify right side
   2,580.10x = 5,459,145.99
5. Step 5: Solve for x
   x = 5,459,145.99/2,580.10
6. Step 6: Final answer
   x = 2,115.87