Finding the Fourth Proportional to 2,577.50, 3,557.48 and 1,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.50 : 3,557.48 = 1,458.50 : x
2. Step 2: Convert to fraction form
   2,577.50/3,557.48 = 1,458.50/x
3. Step 3: Cross multiply
   2,577.50x = 3,557.48 × 1,458.50
4. Step 4: Simplify right side
   2,577.50x = 5,188,584.58
5. Step 5: Solve for x
   x = 5,188,584.58/2,577.50
6. Step 6: Final answer
   x = 2,013.03