Finding the Fourth Proportional to 5,822.69, 8,734.43 and 5,137.43

Step by Step Solution

1. Step 1: Write the proportion equation
   5,822.69 : 8,734.43 = 5,137.43 : x
2. Step 2: Convert to fraction form
   5,822.69/8,734.43 = 5,137.43/x
3. Step 3: Cross multiply
   5,822.69x = 8,734.43 × 5,137.43
4. Step 4: Simplify right side
   5,822.69x = 44,872,491.89
5. Step 5: Solve for x
   x = 44,872,491.89/5,822.69
6. Step 6: Final answer
   x = 7,706.49