Finding the Fourth Proportional to 2,158.16, 2,978.74 and 1,410.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.16 : 2,978.74 = 1,410.90 : x
2. Step 2: Convert to fraction form
   2,158.16/2,978.74 = 1,410.90/x
3. Step 3: Cross multiply
   2,158.16x = 2,978.74 × 1,410.90
4. Step 4: Simplify right side
   2,158.16x = 4,202,704.27
5. Step 5: Solve for x
   x = 4,202,704.27/2,158.16
6. Step 6: Final answer
   x = 1,947.36