Finding the Fourth Proportional to 2,584.79, 3,877.55 and 829.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.79 : 3,877.55 = 829.38 : x
2. Step 2: Convert to fraction form
   2,584.79/3,877.55 = 829.38/x
3. Step 3: Cross multiply
   2,584.79x = 3,877.55 × 829.38
4. Step 4: Simplify right side
   2,584.79x = 3,215,970.86
5. Step 5: Solve for x
   x = 3,215,970.86/2,584.79
6. Step 6: Final answer
   x = 1,244.19