Finding the Fourth Proportional to 11,596.38, 17,395.89 and 3,696.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,596.38 : 17,395.89 = 3,696.10 : x
2. Step 2: Convert to fraction form
   11,596.38/17,395.89 = 3,696.10/x
3. Step 3: Cross multiply
   11,596.38x = 17,395.89 × 3,696.10
4. Step 4: Simplify right side
   11,596.38x = 64,296,949.03
5. Step 5: Solve for x
   x = 64,296,949.03/11,596.38
6. Step 6: Final answer
   x = 5,544.57