Finding the Fourth Proportional to 2,584.31, 3,875.55 and 829.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.31 : 3,875.55 = 829.24 : x
2. Step 2: Convert to fraction form
   2,584.31/3,875.55 = 829.24/x
3. Step 3: Cross multiply
   2,584.31x = 3,875.55 × 829.24
4. Step 4: Simplify right side
   2,584.31x = 3,213,748.28
5. Step 5: Solve for x
   x = 3,213,748.28/2,584.31
6. Step 6: Final answer
   x = 1,243.56