Finding the Fourth Proportional to 9,164.86, 13,738.05 and 3,616.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.86 : 13,738.05 = 3,616.05 : x
2. Step 2: Convert to fraction form
   9,164.86/13,738.05 = 3,616.05/x
3. Step 3: Cross multiply
   9,164.86x = 13,738.05 × 3,616.05
4. Step 4: Simplify right side
   9,164.86x = 49,677,475.70
5. Step 5: Solve for x
   x = 49,677,475.70/9,164.86
6. Step 6: Final answer
   x = 5,420.43