Finding the Fourth Proportional to 5,225.82, 7,834.41 and 3,578.28

Step by Step Solution

1. Step 1: Write the proportion equation
   5,225.82 : 7,834.41 = 3,578.28 : x
2. Step 2: Convert to fraction form
   5,225.82/7,834.41 = 3,578.28/x
3. Step 3: Cross multiply
   5,225.82x = 7,834.41 × 3,578.28
4. Step 4: Simplify right side
   5,225.82x = 28,033,712.61
5. Step 5: Solve for x
   x = 28,033,712.61/5,225.82
6. Step 6: Final answer
   x = 5,364.46