Finding the Fourth Proportional to 2,006.02, 2,993.23 and 1,786.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.02 : 2,993.23 = 1,786.78 : x
2. Step 2: Convert to fraction form
   2,006.02/2,993.23 = 1,786.78/x
3. Step 3: Cross multiply
   2,006.02x = 2,993.23 × 1,786.78
4. Step 4: Simplify right side
   2,006.02x = 5,348,243.50
5. Step 5: Solve for x
   x = 5,348,243.50/2,006.02
6. Step 6: Final answer
   x = 2,666.10