Finding the Fourth Proportional to 7,096, 10,646.52 and 5,144.80

Step by Step Solution

1. Step 1: Write the proportion equation
   7,096 : 10,646.52 = 5,144.80 : x
2. Step 2: Convert to fraction form
   7,096/10,646.52 = 5,144.80/x
3. Step 3: Cross multiply
   7,096x = 10,646.52 × 5,144.80
4. Step 4: Simplify right side
   7,096x = 54,774,216.10
5. Step 5: Solve for x
   x = 54,774,216.10/7,096
6. Step 6: Final answer
   x = 7,719.03