Finding the Fourth Proportional to 2,566.05, 3,540.70 and 1,447.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.05 : 3,540.70 = 1,447.04 : x
2. Step 2: Convert to fraction form
   2,566.05/3,540.70 = 1,447.04/x
3. Step 3: Cross multiply
   2,566.05x = 3,540.70 × 1,447.04
4. Step 4: Simplify right side
   2,566.05x = 5,123,517.13
5. Step 5: Solve for x
   x = 5,123,517.13/2,566.05
6. Step 6: Final answer
   x = 1,996.65