Finding the Fourth Proportional to 5,274.69, 7,914.78 and 3,825.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,274.69 : 7,914.78 = 3,825.80 : x
2. Step 2: Convert to fraction form
   5,274.69/7,914.78 = 3,825.80/x
3. Step 3: Cross multiply
   5,274.69x = 7,914.78 × 3,825.80
4. Step 4: Simplify right side
   5,274.69x = 30,280,355.43
5. Step 5: Solve for x
   x = 30,280,355.43/5,274.69
6. Step 6: Final answer
   x = 5,740.69