Finding the Fourth Proportional to 2,155.94, 2,975.82 and 1,410

Step by Step Solution

1. Step 1: Write the proportion equation
   2,155.94 : 2,975.82 = 1,410 : x
2. Step 2: Convert to fraction form
   2,155.94/2,975.82 = 1,410/x
3. Step 3: Cross multiply
   2,155.94x = 2,975.82 × 1,410
4. Step 4: Simplify right side
   2,155.94x = 4,195,906.20
5. Step 5: Solve for x
   x = 4,195,906.20/2,155.94
6. Step 6: Final answer
   x = 1,946.21