Finding the Fourth Proportional to 2,158.20, 2,977.56 and 1,411.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.20 : 2,977.56 = 1,411.92 : x
2. Step 2: Convert to fraction form
   2,158.20/2,977.56 = 1,411.92/x
3. Step 3: Cross multiply
   2,158.20x = 2,977.56 × 1,411.92
4. Step 4: Simplify right side
   2,158.20x = 4,204,076.52
5. Step 5: Solve for x
   x = 4,204,076.52/2,158.20
6. Step 6: Final answer
   x = 1,947.96