Finding the Fourth Proportional to 2,158.10, 2,978.66 and 1,410.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.10 : 2,978.66 = 1,410.83 : x
2. Step 2: Convert to fraction form
   2,158.10/2,978.66 = 1,410.83/x
3. Step 3: Cross multiply
   2,158.10x = 2,978.66 × 1,410.83
4. Step 4: Simplify right side
   2,158.10x = 4,202,382.89
5. Step 5: Solve for x
   x = 4,202,382.89/2,158.10
6. Step 6: Final answer
   x = 1,947.26