Finding the Fourth Proportional to 7,456.12, 10,288.02 and 5,097.40

Step by Step Solution

1. Step 1: Write the proportion equation
   7,456.12 : 10,288.02 = 5,097.40 : x
2. Step 2: Convert to fraction form
   7,456.12/10,288.02 = 5,097.40/x
3. Step 3: Cross multiply
   7,456.12x = 10,288.02 × 5,097.40
4. Step 4: Simplify right side
   7,456.12x = 52,442,153.15
5. Step 5: Solve for x
   x = 52,442,153.15/7,456.12
6. Step 6: Final answer
   x = 7,033.44