Finding the Fourth Proportional to 1,853.82, 2,779.83 and 684.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,853.82 : 2,779.83 = 684.37 : x
2. Step 2: Convert to fraction form
   1,853.82/2,779.83 = 684.37/x
3. Step 3: Cross multiply
   1,853.82x = 2,779.83 × 684.37
4. Step 4: Simplify right side
   1,853.82x = 1,902,421.89
5. Step 5: Solve for x
   x = 1,902,421.89/1,853.82
6. Step 6: Final answer
   x = 1,026.22