Finding the Fourth Proportional to 2,583.05, 3,871.82 and 1,194.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.05 : 3,871.82 = 1,194.77 : x
2. Step 2: Convert to fraction form
   2,583.05/3,871.82 = 1,194.77/x
3. Step 3: Cross multiply
   2,583.05x = 3,871.82 × 1,194.77
4. Step 4: Simplify right side
   2,583.05x = 4,625,928.41
5. Step 5: Solve for x
   x = 4,625,928.41/2,583.05
6. Step 6: Final answer
   x = 1,790.88