Finding the Fourth Proportional to 1,216.82, 1,679.72 and 824.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.82 : 1,679.72 = 824.37 : x
2. Step 2: Convert to fraction form
   1,216.82/1,679.72 = 824.37/x
3. Step 3: Cross multiply
   1,216.82x = 1,679.72 × 824.37
4. Step 4: Simplify right side
   1,216.82x = 1,384,706.65
5. Step 5: Solve for x
   x = 1,384,706.65/1,216.82
6. Step 6: Final answer
   x = 1,137.98