Finding the Fourth Proportional to 2,566.04, 3,540.89 and 1,446.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.04 : 3,540.89 = 1,446.85 : x
2. Step 2: Convert to fraction form
   2,566.04/3,540.89 = 1,446.85/x
3. Step 3: Cross multiply
   2,566.04x = 3,540.89 × 1,446.85
4. Step 4: Simplify right side
   2,566.04x = 5,123,111.76
5. Step 5: Solve for x
   x = 5,123,111.76/2,566.04
6. Step 6: Final answer
   x = 1,996.51