Finding the Fourth Proportional to 1,684.47, 2,325.82 and 1,022.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.47 : 2,325.82 = 1,022.22 : x
2. Step 2: Convert to fraction form
   1,684.47/2,325.82 = 1,022.22/x
3. Step 3: Cross multiply
   1,684.47x = 2,325.82 × 1,022.22
4. Step 4: Simplify right side
   1,684.47x = 2,377,499.72
5. Step 5: Solve for x
   x = 2,377,499.72/1,684.47
6. Step 6: Final answer
   x = 1,411.42