Finding the Fourth Proportional to 5,648.63, 7,794.91 and 3,096.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.63 : 7,794.91 = 3,096.38 : x
2. Step 2: Convert to fraction form
   5,648.63/7,794.91 = 3,096.38/x
3. Step 3: Cross multiply
   5,648.63x = 7,794.91 × 3,096.38
4. Step 4: Simplify right side
   5,648.63x = 24,136,003.43
5. Step 5: Solve for x
   x = 24,136,003.43/5,648.63
6. Step 6: Final answer
   x = 4,272.90