Finding the Fourth Proportional to 2,047.76, 2,828.78 and 1,826.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,047.76 : 2,828.78 = 1,826.64 : x
2. Step 2: Convert to fraction form
   2,047.76/2,828.78 = 1,826.64/x
3. Step 3: Cross multiply
   2,047.76x = 2,828.78 × 1,826.64
4. Step 4: Simplify right side
   2,047.76x = 5,167,162.70
5. Step 5: Solve for x
   x = 5,167,162.70/2,047.76
6. Step 6: Final answer
   x = 2,523.32