Finding the Fourth Proportional to 2,575.40, 3,553.82 and 1,456.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.40 : 3,553.82 = 1,456.32 : x
2. Step 2: Convert to fraction form
   2,575.40/3,553.82 = 1,456.32/x
3. Step 3: Cross multiply
   2,575.40x = 3,553.82 × 1,456.32
4. Step 4: Simplify right side
   2,575.40x = 5,175,499.14
5. Step 5: Solve for x
   x = 5,175,499.14/2,575.40
6. Step 6: Final answer
   x = 2,009.59