Finding the Fourth Proportional to 5,647.41, 7,788.51 and 4,234.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,647.41 : 7,788.51 = 4,234.29 : x
2. Step 2: Convert to fraction form
   5,647.41/7,788.51 = 4,234.29/x
3. Step 3: Cross multiply
   5,647.41x = 7,788.51 × 4,234.29
4. Step 4: Simplify right side
   5,647.41x = 32,978,810.01
5. Step 5: Solve for x
   x = 32,978,810.01/5,647.41
6. Step 6: Final answer
   x = 5,839.63