Finding the Fourth Proportional to 6,881.82, 9,496.86 and 3,738

Step by Step Solution

1. Step 1: Write the proportion equation
   6,881.82 : 9,496.86 = 3,738 : x
2. Step 2: Convert to fraction form
   6,881.82/9,496.86 = 3,738/x
3. Step 3: Cross multiply
   6,881.82x = 9,496.86 × 3,738
4. Step 4: Simplify right side
   6,881.82x = 35,499,262.68
5. Step 5: Solve for x
   x = 35,499,262.68/6,881.82
6. Step 6: Final answer
   x = 5,158.41