Finding the Fourth Proportional to 2,646.62, 3,971.72 and 1,414.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.62 : 3,971.72 = 1,414.91 : x
2. Step 2: Convert to fraction form
   2,646.62/3,971.72 = 1,414.91/x
3. Step 3: Cross multiply
   2,646.62x = 3,971.72 × 1,414.91
4. Step 4: Simplify right side
   2,646.62x = 5,619,619.27
5. Step 5: Solve for x
   x = 5,619,619.27/2,646.62
6. Step 6: Final answer
   x = 2,123.32