Finding the Fourth Proportional to 2,583.94, 3,875.52 and 829.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.94 : 3,875.52 = 829.15 : x
2. Step 2: Convert to fraction form
   2,583.94/3,875.52 = 829.15/x
3. Step 3: Cross multiply
   2,583.94x = 3,875.52 × 829.15
4. Step 4: Simplify right side
   2,583.94x = 3,213,387.41
5. Step 5: Solve for x
   x = 3,213,387.41/2,583.94
6. Step 6: Final answer
   x = 1,243.60