Finding the Fourth Proportional to 2,557.73, 3,830.91 and 1,461.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.73 : 3,830.91 = 1,461.39 : x
2. Step 2: Convert to fraction form
   2,557.73/3,830.91 = 1,461.39/x
3. Step 3: Cross multiply
   2,557.73x = 3,830.91 × 1,461.39
4. Step 4: Simplify right side
   2,557.73x = 5,598,453.56
5. Step 5: Solve for x
   x = 5,598,453.56/2,557.73
6. Step 6: Final answer
   x = 2,188.84