Finding the Fourth Proportional to 2,157.42, 2,978.22 and 1,411.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,157.42 : 2,978.22 = 1,411.41 : x
2. Step 2: Convert to fraction form
   2,157.42/2,978.22 = 1,411.41/x
3. Step 3: Cross multiply
   2,157.42x = 2,978.22 × 1,411.41
4. Step 4: Simplify right side
   2,157.42x = 4,203,489.49
5. Step 5: Solve for x
   x = 4,203,489.49/2,157.42
6. Step 6: Final answer
   x = 1,948.39