Finding the Fourth Proportional to 2,569.87, 3,546.34 and 1,450.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.87 : 3,546.34 = 1,450.80 : x
2. Step 2: Convert to fraction form
   2,569.87/3,546.34 = 1,450.80/x
3. Step 3: Cross multiply
   2,569.87x = 3,546.34 × 1,450.80
4. Step 4: Simplify right side
   2,569.87x = 5,145,030.07
5. Step 5: Solve for x
   x = 5,145,030.07/2,569.87
6. Step 6: Final answer
   x = 2,002.06