Finding the Fourth Proportional to 2,582.55, 3,874.67 and 1,177.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.55 : 3,874.67 = 1,177.47 : x
2. Step 2: Convert to fraction form
   2,582.55/3,874.67 = 1,177.47/x
3. Step 3: Cross multiply
   2,582.55x = 3,874.67 × 1,177.47
4. Step 4: Simplify right side
   2,582.55x = 4,562,301.80
5. Step 5: Solve for x
   x = 4,562,301.80/2,582.55
6. Step 6: Final answer
   x = 1,766.59