Finding the Fourth Proportional to 6,940.26, 10,415.52 and 5,096.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,940.26 : 10,415.52 = 5,096.16 : x
2. Step 2: Convert to fraction form
   6,940.26/10,415.52 = 5,096.16/x
3. Step 3: Cross multiply
   6,940.26x = 10,415.52 × 5,096.16
4. Step 4: Simplify right side
   6,940.26x = 53,079,156.40
5. Step 5: Solve for x
   x = 53,079,156.40/6,940.26
6. Step 6: Final answer
   x = 7,648.01