Finding the Fourth Proportional to 2,067.54, 2,854.89 and 1,406.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,067.54 : 2,854.89 = 1,406.58 : x
2. Step 2: Convert to fraction form
   2,067.54/2,854.89 = 1,406.58/x
3. Step 3: Cross multiply
   2,067.54x = 2,854.89 × 1,406.58
4. Step 4: Simplify right side
   2,067.54x = 4,015,631.18
5. Step 5: Solve for x
   x = 4,015,631.18/2,067.54
6. Step 6: Final answer
   x = 1,942.23