Finding the Fourth Proportional to 1,826.89, 2,737.77 and 1,414.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,826.89 : 2,737.77 = 1,414.14 : x
2. Step 2: Convert to fraction form
   1,826.89/2,737.77 = 1,414.14/x
3. Step 3: Cross multiply
   1,826.89x = 2,737.77 × 1,414.14
4. Step 4: Simplify right side
   1,826.89x = 3,871,590.07
5. Step 5: Solve for x
   x = 3,871,590.07/1,826.89
6. Step 6: Final answer
   x = 2,119.22