Finding the Fourth Proportional to 2,005.81, 2,766.64 and 1,308.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.81 : 2,766.64 = 1,308.13 : x
2. Step 2: Convert to fraction form
   2,005.81/2,766.64 = 1,308.13/x
3. Step 3: Cross multiply
   2,005.81x = 2,766.64 × 1,308.13
4. Step 4: Simplify right side
   2,005.81x = 3,619,124.78
5. Step 5: Solve for x
   x = 3,619,124.78/2,005.81
6. Step 6: Final answer
   x = 1,804.32