Finding the Fourth Proportional to 1,683.90, 2,323.98 and 1,421.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683.90 : 2,323.98 = 1,421.46 : x
2. Step 2: Convert to fraction form
   1,683.90/2,323.98 = 1,421.46/x
3. Step 3: Cross multiply
   1,683.90x = 2,323.98 × 1,421.46
4. Step 4: Simplify right side
   1,683.90x = 3,303,444.61
5. Step 5: Solve for x
   x = 3,303,444.61/1,683.90
6. Step 6: Final answer
   x = 1,961.78