Finding the Fourth Proportional to 6,911.42, 9,538.05 and 3,767.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,911.42 : 9,538.05 = 3,767.78 : x
2. Step 2: Convert to fraction form
   6,911.42/9,538.05 = 3,767.78/x
3. Step 3: Cross multiply
   6,911.42x = 9,538.05 × 3,767.78
4. Step 4: Simplify right side
   6,911.42x = 35,937,274.03
5. Step 5: Solve for x
   x = 35,937,274.03/6,911.42
6. Step 6: Final answer
   x = 5,199.69