Finding the Fourth Proportional to 10,421.90, 15,625.94 and 5,744.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,421.90 : 15,625.94 = 5,744.15 : x
2. Step 2: Convert to fraction form
   10,421.90/15,625.94 = 5,744.15/x
3. Step 3: Cross multiply
   10,421.90x = 15,625.94 × 5,744.15
4. Step 4: Simplify right side
   10,421.90x = 89,757,743.25
5. Step 5: Solve for x
   x = 89,757,743.25/10,421.90
6. Step 6: Final answer
   x = 8,612.42