Finding the Fourth Proportional to 2,584.62, 3,873.75 and 1,196.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.62 : 3,873.75 = 1,196.06 : x
2. Step 2: Convert to fraction form
   2,584.62/3,873.75 = 1,196.06/x
3. Step 3: Cross multiply
   2,584.62x = 3,873.75 × 1,196.06
4. Step 4: Simplify right side
   2,584.62x = 4,633,218.06
5. Step 5: Solve for x
   x = 4,633,218.06/2,584.62
6. Step 6: Final answer
   x = 1,792.61