Finding the Fourth Proportional to 3,498.54, 4,827.78 and 2,006.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.54 : 4,827.78 = 2,006.10 : x
2. Step 2: Convert to fraction form
   3,498.54/4,827.78 = 2,006.10/x
3. Step 3: Cross multiply
   3,498.54x = 4,827.78 × 2,006.10
4. Step 4: Simplify right side
   3,498.54x = 9,685,009.46
5. Step 5: Solve for x
   x = 9,685,009.46/3,498.54
6. Step 6: Final answer
   x = 2,768.30