Finding the Fourth Proportional to 7,825.27, 10,792.98 and 5,435.24

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.27 : 10,792.98 = 5,435.24 : x
2. Step 2: Convert to fraction form
   7,825.27/10,792.98 = 5,435.24/x
3. Step 3: Cross multiply
   7,825.27x = 10,792.98 × 5,435.24
4. Step 4: Simplify right side
   7,825.27x = 58,662,436.62
5. Step 5: Solve for x
   x = 58,662,436.62/7,825.27
6. Step 6: Final answer
   x = 7,496.54