Finding the Fourth Proportional to 2,583.37, 3,875.31 and 827.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.37 : 3,875.31 = 827.93 : x
2. Step 2: Convert to fraction form
   2,583.37/3,875.31 = 827.93/x
3. Step 3: Cross multiply
   2,583.37x = 3,875.31 × 827.93
4. Step 4: Simplify right side
   2,583.37x = 3,208,490.25
5. Step 5: Solve for x
   x = 3,208,490.25/2,583.37
6. Step 6: Final answer
   x = 1,241.98