Finding the Fourth Proportional to 10,211.82, 15,322.82 and 3,638.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,211.82 : 15,322.82 = 3,638.52 : x
2. Step 2: Convert to fraction form
   10,211.82/15,322.82 = 3,638.52/x
3. Step 3: Cross multiply
   10,211.82x = 15,322.82 × 3,638.52
4. Step 4: Simplify right side
   10,211.82x = 55,752,389.30
5. Step 5: Solve for x
   x = 55,752,389.30/10,211.82
6. Step 6: Final answer
   x = 5,459.59