Finding the Fourth Proportional to 9,196.10, 13,789.11 and 3,643.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.10 : 13,789.11 = 3,643.82 : x
2. Step 2: Convert to fraction form
   9,196.10/13,789.11 = 3,643.82/x
3. Step 3: Cross multiply
   9,196.10x = 13,789.11 × 3,643.82
4. Step 4: Simplify right side
   9,196.10x = 50,245,034.80
5. Step 5: Solve for x
   x = 50,245,034.80/9,196.10
6. Step 6: Final answer
   x = 5,463.73