Finding the Fourth Proportional to 1,686.32, 2,326.56 and 1,022.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,686.32 : 2,326.56 = 1,022.96 : x
2. Step 2: Convert to fraction form
   1,686.32/2,326.56 = 1,022.96/x
3. Step 3: Cross multiply
   1,686.32x = 2,326.56 × 1,022.96
4. Step 4: Simplify right side
   1,686.32x = 2,379,977.82
5. Step 5: Solve for x
   x = 2,379,977.82/1,686.32
6. Step 6: Final answer
   x = 1,411.34