Finding the Fourth Proportional to 6,746.82, 10,126.70 and 3,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,746.82 : 10,126.70 = 3,286.50 : x
2. Step 2: Convert to fraction form
   6,746.82/10,126.70 = 3,286.50/x
3. Step 3: Cross multiply
   6,746.82x = 10,126.70 × 3,286.50
4. Step 4: Simplify right side
   6,746.82x = 33,281,399.55
5. Step 5: Solve for x
   x = 33,281,399.55/6,746.82
6. Step 6: Final answer
   x = 4,932.90