Finding the Fourth Proportional to 2,211.82, 3,315.88 and 824.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,211.82 : 3,315.88 = 824.38 : x
2. Step 2: Convert to fraction form
   2,211.82/3,315.88 = 824.38/x
3. Step 3: Cross multiply
   2,211.82x = 3,315.88 × 824.38
4. Step 4: Simplify right side
   2,211.82x = 2,733,545.15
5. Step 5: Solve for x
   x = 2,733,545.15/2,211.82
6. Step 6: Final answer
   x = 1,235.88