Finding the Fourth Proportional to 3,498.84, 4,828.47 and 2,006.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.84 : 4,828.47 = 2,006.82 : x
2. Step 2: Convert to fraction form
   3,498.84/4,828.47 = 2,006.82/x
3. Step 3: Cross multiply
   3,498.84x = 4,828.47 × 2,006.82
4. Step 4: Simplify right side
   3,498.84x = 9,689,870.17
5. Step 5: Solve for x
   x = 9,689,870.17/3,498.84
6. Step 6: Final answer
   x = 2,769.45