Finding the Fourth Proportional to 6,904.59, 10,361.42 and 3,786.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,904.59 : 10,361.42 = 3,786.78 : x
2. Step 2: Convert to fraction form
   6,904.59/10,361.42 = 3,786.78/x
3. Step 3: Cross multiply
   6,904.59x = 10,361.42 × 3,786.78
4. Step 4: Simplify right side
   6,904.59x = 39,236,475.06
5. Step 5: Solve for x
   x = 39,236,475.06/6,904.59
6. Step 6: Final answer
   x = 5,682.67