Finding the Fourth Proportional to 2,580.66, 3,872.34 and 1,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.66 : 3,872.34 = 1,411.50 : x
2. Step 2: Convert to fraction form
   2,580.66/3,872.34 = 1,411.50/x
3. Step 3: Cross multiply
   2,580.66x = 3,872.34 × 1,411.50
4. Step 4: Simplify right side
   2,580.66x = 5,465,807.91
5. Step 5: Solve for x
   x = 5,465,807.91/2,580.66
6. Step 6: Final answer
   x = 2,117.99