Finding the Fourth Proportional to 6,784.91, 10,181.37 and 3,785.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.91 : 10,181.37 = 3,785.46 : x
2. Step 2: Convert to fraction form
   6,784.91/10,181.37 = 3,785.46/x
3. Step 3: Cross multiply
   6,784.91x = 10,181.37 × 3,785.46
4. Step 4: Simplify right side
   6,784.91x = 38,541,168.88
5. Step 5: Solve for x
   x = 38,541,168.88/6,784.91
6. Step 6: Final answer
   x = 5,680.43