Finding the Fourth Proportional to 1,684.72, 2,326.16 and 1,022.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.72 : 2,326.16 = 1,022.47 : x
2. Step 2: Convert to fraction form
   1,684.72/2,326.16 = 1,022.47/x
3. Step 3: Cross multiply
   1,684.72x = 2,326.16 × 1,022.47
4. Step 4: Simplify right side
   1,684.72x = 2,378,425.56
5. Step 5: Solve for x
   x = 2,378,425.56/1,684.72
6. Step 6: Final answer
   x = 1,411.76