Finding the Fourth Proportional to 1,683.14, 2,322.18 and 1,019.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.14 : 2,322.18 = 1,019.74 : x
2. Step 2: Convert to fraction form
   1,683.14/2,322.18 = 1,019.74/x
3. Step 3: Cross multiply
   1,683.14x = 2,322.18 × 1,019.74
4. Step 4: Simplify right side
   1,683.14x = 2,368,019.83
5. Step 5: Solve for x
   x = 2,368,019.83/1,683.14
6. Step 6: Final answer
   x = 1,406.91