Finding the Fourth Proportional to 2,566.85, 3,542.22 and 1,447.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.85 : 3,542.22 = 1,447.76 : x
2. Step 2: Convert to fraction form
   2,566.85/3,542.22 = 1,447.76/x
3. Step 3: Cross multiply
   2,566.85x = 3,542.22 × 1,447.76
4. Step 4: Simplify right side
   2,566.85x = 5,128,266.72
5. Step 5: Solve for x
   x = 5,128,266.72/2,566.85
6. Step 6: Final answer
   x = 1,997.89