Finding the Fourth Proportional to 3,783.82, 5,665.10 and 2,856.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,783.82 : 5,665.10 = 2,856.46 : x
2. Step 2: Convert to fraction form
   3,783.82/5,665.10 = 2,856.46/x
3. Step 3: Cross multiply
   3,783.82x = 5,665.10 × 2,856.46
4. Step 4: Simplify right side
   3,783.82x = 16,182,131.55
5. Step 5: Solve for x
   x = 16,182,131.55/3,783.82
6. Step 6: Final answer
   x = 4,276.67