Finding the Fourth Proportional to 8,582.64, 12,876.72 and 3,656.49

Step by Step Solution

1. Step 1: Write the proportion equation
   8,582.64 : 12,876.72 = 3,656.49 : x
2. Step 2: Convert to fraction form
   8,582.64/12,876.72 = 3,656.49/x
3. Step 3: Cross multiply
   8,582.64x = 12,876.72 × 3,656.49
4. Step 4: Simplify right side
   8,582.64x = 47,083,597.91
5. Step 5: Solve for x
   x = 47,083,597.91/8,582.64
6. Step 6: Final answer
   x = 5,485.91