Finding the Fourth Proportional to 5,672.89, 7,827.87 and 3,578.23

Step by Step Solution

1. Step 1: Write the proportion equation
   5,672.89 : 7,827.87 = 3,578.23 : x
2. Step 2: Convert to fraction form
   5,672.89/7,827.87 = 3,578.23/x
3. Step 3: Cross multiply
   5,672.89x = 7,827.87 × 3,578.23
4. Step 4: Simplify right side
   5,672.89x = 28,009,919.27
5. Step 5: Solve for x
   x = 28,009,919.27/5,672.89
6. Step 6: Final answer
   x = 4,937.50