Finding the Fourth Proportional to 2,006.67, 2,768.65 and 1,155.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.67 : 2,768.65 = 1,155.89 : x
2. Step 2: Convert to fraction form
   2,006.67/2,768.65 = 1,155.89/x
3. Step 3: Cross multiply
   2,006.67x = 2,768.65 × 1,155.89
4. Step 4: Simplify right side
   2,006.67x = 3,200,254.85
5. Step 5: Solve for x
   x = 3,200,254.85/2,006.67
6. Step 6: Final answer
   x = 1,594.81