Finding the Fourth Proportional to 2,046.78, 2,826.90 and 1,382.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.78 : 2,826.90 = 1,382.49 : x
2. Step 2: Convert to fraction form
   2,046.78/2,826.90 = 1,382.49/x
3. Step 3: Cross multiply
   2,046.78x = 2,826.90 × 1,382.49
4. Step 4: Simplify right side
   2,046.78x = 3,908,160.98
5. Step 5: Solve for x
   x = 3,908,160.98/2,046.78
6. Step 6: Final answer
   x = 1,909.42