Finding the Fourth Proportional to 2,013.82, 2,783.70 and 1,680.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,013.82 : 2,783.70 = 1,680.30 : x
2. Step 2: Convert to fraction form
   2,013.82/2,783.70 = 1,680.30/x
3. Step 3: Cross multiply
   2,013.82x = 2,783.70 × 1,680.30
4. Step 4: Simplify right side
   2,013.82x = 4,677,451.11
5. Step 5: Solve for x
   x = 4,677,451.11/2,013.82
6. Step 6: Final answer
   x = 2,322.68