Finding the Fourth Proportional to 5,096.62, 7,647.09 and 2,785.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096.62 : 7,647.09 = 2,785.42 : x
2. Step 2: Convert to fraction form
   5,096.62/7,647.09 = 2,785.42/x
3. Step 3: Cross multiply
   5,096.62x = 7,647.09 × 2,785.42
4. Step 4: Simplify right side
   5,096.62x = 21,300,357.43
5. Step 5: Solve for x
   x = 21,300,357.43/5,096.62
6. Step 6: Final answer
   x = 4,179.31