Finding the Fourth Proportional to 6,185.82, 8,532.14 and 3,826.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185.82 : 8,532.14 = 3,826.56 : x
2. Step 2: Convert to fraction form
   6,185.82/8,532.14 = 3,826.56/x
3. Step 3: Cross multiply
   6,185.82x = 8,532.14 × 3,826.56
4. Step 4: Simplify right side
   6,185.82x = 32,648,745.64
5. Step 5: Solve for x
   x = 32,648,745.64/6,185.82
6. Step 6: Final answer
   x = 5,278.00