Finding the Fourth Proportional to 3,499.23, 4,827.42 and 2,006.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,499.23 : 4,827.42 = 2,006.82 : x
2. Step 2: Convert to fraction form
   3,499.23/4,827.42 = 2,006.82/x
3. Step 3: Cross multiply
   3,499.23x = 4,827.42 × 2,006.82
4. Step 4: Simplify right side
   3,499.23x = 9,687,763.00
5. Step 5: Solve for x
   x = 9,687,763.00/3,499.23
6. Step 6: Final answer
   x = 2,768.54