Finding the Fourth Proportional to 6,911.89, 9,538.38 and 3,768.07

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.89 : 9,538.38 = 3,768.07 : x
2. Step 2: Convert to fraction form
   6,911.89/9,538.38 = 3,768.07/x
3. Step 3: Cross multiply
   6,911.89x = 9,538.38 × 3,768.07
4. Step 4: Simplify right side
   6,911.89x = 35,941,283.53
5. Step 5: Solve for x
   x = 35,941,283.53/6,911.89
6. Step 6: Final answer
   x = 5,199.92