Finding the Fourth Proportional to 2,046.20, 2,826.32 and 1,780.11

Step by Step Solution

1. Step 1: Write the proportion equation
   2,046.20 : 2,826.32 = 1,780.11 : x
2. Step 2: Convert to fraction form
   2,046.20/2,826.32 = 1,780.11/x
3. Step 3: Cross multiply
   2,046.20x = 2,826.32 × 1,780.11
4. Step 4: Simplify right side
   2,046.20x = 5,031,151.59
5. Step 5: Solve for x
   x = 5,031,151.59/2,046.20
6. Step 6: Final answer
   x = 2,458.78