Finding the Fourth Proportional to 10,164.86, 15,244.16 and 3,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,164.86 : 15,244.16 = 3,589.50 : x
2. Step 2: Convert to fraction form
   10,164.86/15,244.16 = 3,589.50/x
3. Step 3: Cross multiply
   10,164.86x = 15,244.16 × 3,589.50
4. Step 4: Simplify right side
   10,164.86x = 54,718,894.37
5. Step 5: Solve for x
   x = 54,718,894.37/10,164.86
6. Step 6: Final answer
   x = 5,383.15