Finding the Fourth Proportional to 2,070.02, 2,853.83 and 2,005.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,070.02 : 2,853.83 = 2,005.49 : x
2. Step 2: Convert to fraction form
   2,070.02/2,853.83 = 2,005.49/x
3. Step 3: Cross multiply
   2,070.02x = 2,853.83 × 2,005.49
4. Step 4: Simplify right side
   2,070.02x = 5,723,339.68
5. Step 5: Solve for x
   x = 5,723,339.68/2,070.02
6. Step 6: Final answer
   x = 2,764.87