Finding the Fourth Proportional to 3,780.96, 5,665.37 and 2,132.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.96 : 5,665.37 = 2,132.61 : x
2. Step 2: Convert to fraction form
   3,780.96/5,665.37 = 2,132.61/x
3. Step 3: Cross multiply
   3,780.96x = 5,665.37 × 2,132.61
4. Step 4: Simplify right side
   3,780.96x = 12,082,014.05
5. Step 5: Solve for x
   x = 12,082,014.05/3,780.96
6. Step 6: Final answer
   x = 3,195.49