Finding the Fourth Proportional to 2,582.82, 3,875.32 and 1,411.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.82 : 3,875.32 = 1,411.45 : x
2. Step 2: Convert to fraction form
   2,582.82/3,875.32 = 1,411.45/x
3. Step 3: Cross multiply
   2,582.82x = 3,875.32 × 1,411.45
4. Step 4: Simplify right side
   2,582.82x = 5,469,827.02
5. Step 5: Solve for x
   x = 5,469,827.02/2,582.82
6. Step 6: Final answer
   x = 2,117.78