Finding the Fourth Proportional to 5,643.05, 7,783.53 and 3,871.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643.05 : 7,783.53 = 3,871.58 : x
2. Step 2: Convert to fraction form
   5,643.05/7,783.53 = 3,871.58/x
3. Step 3: Cross multiply
   5,643.05x = 7,783.53 × 3,871.58
4. Step 4: Simplify right side
   5,643.05x = 30,134,520.16
5. Step 5: Solve for x
   x = 30,134,520.16/5,643.05
6. Step 6: Final answer
   x = 5,340.12