Finding the Fourth Proportional to 2,147.42, 3,216.91 and 1,414.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,147.42 : 3,216.91 = 1,414.78 : x
2. Step 2: Convert to fraction form
   2,147.42/3,216.91 = 1,414.78/x
3. Step 3: Cross multiply
   2,147.42x = 3,216.91 × 1,414.78
4. Step 4: Simplify right side
   2,147.42x = 4,551,196.77
5. Step 5: Solve for x
   x = 4,551,196.77/2,147.42
6. Step 6: Final answer
   x = 2,119.38