Finding the Fourth Proportional to 6,580.84, 9,082.56 and 3,786.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,580.84 : 9,082.56 = 3,786.16 : x
2. Step 2: Convert to fraction form
   6,580.84/9,082.56 = 3,786.16/x
3. Step 3: Cross multiply
   6,580.84x = 9,082.56 × 3,786.16
4. Step 4: Simplify right side
   6,580.84x = 34,388,025.37
5. Step 5: Solve for x
   x = 34,388,025.37/6,580.84
6. Step 6: Final answer
   x = 5,225.48