Finding the Fourth Proportional to 3,496.83, 4,826.33 and 2,005.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,496.83 : 4,826.33 = 2,005.76 : x
2. Step 2: Convert to fraction form
   3,496.83/4,826.33 = 2,005.76/x
3. Step 3: Cross multiply
   3,496.83x = 4,826.33 × 2,005.76
4. Step 4: Simplify right side
   3,496.83x = 9,680,425.50
5. Step 5: Solve for x
   x = 9,680,425.50/3,496.83
6. Step 6: Final answer
   x = 2,768.34