Finding the Fourth Proportional to 1,682.50, 2,321.67 and 1,019.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,682.50 : 2,321.67 = 1,019.46 : x
2. Step 2: Convert to fraction form
   1,682.50/2,321.67 = 1,019.46/x
3. Step 3: Cross multiply
   1,682.50x = 2,321.67 × 1,019.46
4. Step 4: Simplify right side
   1,682.50x = 2,366,849.70
5. Step 5: Solve for x
   x = 2,366,849.70/1,682.50
6. Step 6: Final answer
   x = 1,406.75