Finding the Fourth Proportional to 6,002.56, 8,286.06 and 3,645.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,002.56 : 8,286.06 = 3,645.46 : x
2. Step 2: Convert to fraction form
   6,002.56/8,286.06 = 3,645.46/x
3. Step 3: Cross multiply
   6,002.56x = 8,286.06 × 3,645.46
4. Step 4: Simplify right side
   6,002.56x = 30,206,500.29
5. Step 5: Solve for x
   x = 30,206,500.29/6,002.56
6. Step 6: Final answer
   x = 5,032.27