Finding the Fourth Proportional to 1,222.59, 1,684.89 and 872.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.59 : 1,684.89 = 872.67 : x
2. Step 2: Convert to fraction form
   1,222.59/1,684.89 = 872.67/x
3. Step 3: Cross multiply
   1,222.59x = 1,684.89 × 872.67
4. Step 4: Simplify right side
   1,222.59x = 1,470,352.96
5. Step 5: Solve for x
   x = 1,470,352.96/1,222.59
6. Step 6: Final answer
   x = 1,202.65