Finding the Fourth Proportional to 2,583.52, 3,875.62 and 827.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.52 : 3,875.62 = 827.94 : x
2. Step 2: Convert to fraction form
   2,583.52/3,875.62 = 827.94/x
3. Step 3: Cross multiply
   2,583.52x = 3,875.62 × 827.94
4. Step 4: Simplify right side
   2,583.52x = 3,208,774.90
5. Step 5: Solve for x
   x = 3,208,774.90/2,583.52
6. Step 6: Final answer
   x = 1,242.02