Finding the Fourth Proportional to 2,566.85, 3,542.31 and 1,447.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.85 : 3,542.31 = 1,447.82 : x
2. Step 2: Convert to fraction form
   2,566.85/3,542.31 = 1,447.82/x
3. Step 3: Cross multiply
   2,566.85x = 3,542.31 × 1,447.82
4. Step 4: Simplify right side
   2,566.85x = 5,128,627.26
5. Step 5: Solve for x
   x = 5,128,627.26/2,566.85
6. Step 6: Final answer
   x = 1,998.02