Finding the Fourth Proportional to 2,557.20, 3,834.58 and 1,461.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.20 : 3,834.58 = 1,461.27 : x
2. Step 2: Convert to fraction form
   2,557.20/3,834.58 = 1,461.27/x
3. Step 3: Cross multiply
   2,557.20x = 3,834.58 × 1,461.27
4. Step 4: Simplify right side
   2,557.20x = 5,603,356.72
5. Step 5: Solve for x
   x = 5,603,356.72/2,557.20
6. Step 6: Final answer
   x = 2,191.21