Finding the Fourth Proportional to 3,780.20, 5,216.76 and 2,287.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.20 : 5,216.76 = 2,287.82 : x
2. Step 2: Convert to fraction form
   3,780.20/5,216.76 = 2,287.82/x
3. Step 3: Cross multiply
   3,780.20x = 5,216.76 × 2,287.82
4. Step 4: Simplify right side
   3,780.20x = 11,935,007.86
5. Step 5: Solve for x
   x = 11,935,007.86/3,780.20
6. Step 6: Final answer
   x = 3,157.24