Finding the Fourth Proportional to 2,583.82, 3,877.32 and 1,196.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.82 : 3,877.32 = 1,196.89 : x
2. Step 2: Convert to fraction form
   2,583.82/3,877.32 = 1,196.89/x
3. Step 3: Cross multiply
   2,583.82x = 3,877.32 × 1,196.89
4. Step 4: Simplify right side
   2,583.82x = 4,640,735.41
5. Step 5: Solve for x
   x = 4,640,735.41/2,583.82
6. Step 6: Final answer
   x = 1,796.08