Finding the Fourth Proportional to 6,911.71, 9,538.17 and 3,767.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.71 : 9,538.17 = 3,767.92 : x
2. Step 2: Convert to fraction form
   6,911.71/9,538.17 = 3,767.92/x
3. Step 3: Cross multiply
   6,911.71x = 9,538.17 × 3,767.92
4. Step 4: Simplify right side
   6,911.71x = 35,939,061.51
5. Step 5: Solve for x
   x = 35,939,061.51/6,911.71
6. Step 6: Final answer
   x = 5,199.74