Finding the Fourth Proportional to 2,582.51, 3,874.41 and 1,196.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.51 : 3,874.41 = 1,196.82 : x
2. Step 2: Convert to fraction form
   2,582.51/3,874.41 = 1,196.82/x
3. Step 3: Cross multiply
   2,582.51x = 3,874.41 × 1,196.82
4. Step 4: Simplify right side
   2,582.51x = 4,636,971.38
5. Step 5: Solve for x
   x = 4,636,971.38/2,582.51
6. Step 6: Final answer
   x = 1,795.53