Finding the Fourth Proportional to 6,911.78, 9,538.38 and 3,767.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.78 : 9,538.38 = 3,767.96 : x
2. Step 2: Convert to fraction form
   6,911.78/9,538.38 = 3,767.96/x
3. Step 3: Cross multiply
   6,911.78x = 9,538.38 × 3,767.96
4. Step 4: Simplify right side
   6,911.78x = 35,940,258.15
5. Step 5: Solve for x
   x = 35,940,258.15/6,911.78
6. Step 6: Final answer
   x = 5,199.86