Finding the Fourth Proportional to 2,005.98, 3,006.69 and 1,255.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.98 : 3,006.69 = 1,255.84 : x
2. Step 2: Convert to fraction form
   2,005.98/3,006.69 = 1,255.84/x
3. Step 3: Cross multiply
   2,005.98x = 3,006.69 × 1,255.84
4. Step 4: Simplify right side
   2,005.98x = 3,775,914.05
5. Step 5: Solve for x
   x = 3,775,914.05/2,005.98
6. Step 6: Final answer
   x = 1,882.33