Finding the Fourth Proportional to 6,512.49, 8,986.59 and 3,680.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,512.49 : 8,986.59 = 3,680.10 : x
2. Step 2: Convert to fraction form
   6,512.49/8,986.59 = 3,680.10/x
3. Step 3: Cross multiply
   6,512.49x = 8,986.59 × 3,680.10
4. Step 4: Simplify right side
   6,512.49x = 33,071,549.86
5. Step 5: Solve for x
   x = 33,071,549.86/6,512.49
6. Step 6: Final answer
   x = 5,078.17