Finding the Fourth Proportional to 2,583.16, 3,871.32 and 1,196.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.16 : 3,871.32 = 1,196.28 : x
2. Step 2: Convert to fraction form
   2,583.16/3,871.32 = 1,196.28/x
3. Step 3: Cross multiply
   2,583.16x = 3,871.32 × 1,196.28
4. Step 4: Simplify right side
   2,583.16x = 4,631,182.69
5. Step 5: Solve for x
   x = 4,631,182.69/2,583.16
6. Step 6: Final answer
   x = 1,792.84