Finding the Fourth Proportional to 3,782.88, 5,667.17 and 2,140.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782.88 : 5,667.17 = 2,140.61 : x
2. Step 2: Convert to fraction form
   3,782.88/5,667.17 = 2,140.61/x
3. Step 3: Cross multiply
   3,782.88x = 5,667.17 × 2,140.61
4. Step 4: Simplify right side
   3,782.88x = 12,131,161.73
5. Step 5: Solve for x
   x = 12,131,161.73/3,782.88
6. Step 6: Final answer
   x = 3,206.86