Finding the Fourth Proportional to 2,575.62, 3,554.34 and 1,456.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.62 : 3,554.34 = 1,456.80 : x
2. Step 2: Convert to fraction form
   2,575.62/3,554.34 = 1,456.80/x
3. Step 3: Cross multiply
   2,575.62x = 3,554.34 × 1,456.80
4. Step 4: Simplify right side
   2,575.62x = 5,177,962.51
5. Step 5: Solve for x
   x = 5,177,962.51/2,575.62
6. Step 6: Final answer
   x = 2,010.38