Finding the Fourth Proportional to 2,005.89, 2,768.76 and 1,376.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,005.89 : 2,768.76 = 1,376.19 : x
2. Step 2: Convert to fraction form
   2,005.89/2,768.76 = 1,376.19/x
3. Step 3: Cross multiply
   2,005.89x = 2,768.76 × 1,376.19
4. Step 4: Simplify right side
   2,005.89x = 3,810,339.82
5. Step 5: Solve for x
   x = 3,810,339.82/2,005.89
6. Step 6: Final answer
   x = 1,899.58