Finding the Fourth Proportional to 10,138.38, 15,214.41 and 3,564.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.38 : 15,214.41 = 3,564.60 : x
2. Step 2: Convert to fraction form
   10,138.38/15,214.41 = 3,564.60/x
3. Step 3: Cross multiply
   10,138.38x = 15,214.41 × 3,564.60
4. Step 4: Simplify right side
   10,138.38x = 54,233,285.89
5. Step 5: Solve for x
   x = 54,233,285.89/10,138.38
6. Step 6: Final answer
   x = 5,349.30