Finding the Fourth Proportional to 10,205.69, 15,314.70 and 3,631.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205.69 : 15,314.70 = 3,631.38 : x
2. Step 2: Convert to fraction form
   10,205.69/15,314.70 = 3,631.38/x
3. Step 3: Cross multiply
   10,205.69x = 15,314.70 × 3,631.38
4. Step 4: Simplify right side
   10,205.69x = 55,613,495.29
5. Step 5: Solve for x
   x = 55,613,495.29/10,205.69
6. Step 6: Final answer
   x = 5,449.27