Finding the Fourth Proportional to 7,496.33, 10,339.57 and 5,258.71

Step by Step Solution

1. Step 1: Write the proportion equation
   7,496.33 : 10,339.57 = 5,258.71 : x
2. Step 2: Convert to fraction form
   7,496.33/10,339.57 = 5,258.71/x
3. Step 3: Cross multiply
   7,496.33x = 10,339.57 × 5,258.71
4. Step 4: Simplify right side
   7,496.33x = 54,372,800.15
5. Step 5: Solve for x
   x = 54,372,800.15/7,496.33
6. Step 6: Final answer
   x = 7,253.26