Finding the Fourth Proportional to 2,772.80, 3,826.89 and 2,681.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,772.80 : 3,826.89 = 2,681.67 : x
2. Step 2: Convert to fraction form
   2,772.80/3,826.89 = 2,681.67/x
3. Step 3: Cross multiply
   2,772.80x = 3,826.89 × 2,681.67
4. Step 4: Simplify right side
   2,772.80x = 10,262,456.11
5. Step 5: Solve for x
   x = 10,262,456.11/2,772.80
6. Step 6: Final answer
   x = 3,701.12