Finding the Fourth Proportional to 2,578, 3,557.64 and 1,458.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578 : 3,557.64 = 1,458.82 : x
2. Step 2: Convert to fraction form
   2,578/3,557.64 = 1,458.82/x
3. Step 3: Cross multiply
   2,578x = 3,557.64 × 1,458.82
4. Step 4: Simplify right side
   2,578x = 5,189,956.38
5. Step 5: Solve for x
   x = 5,189,956.38/2,578
6. Step 6: Final answer
   x = 2,013.17