Finding the Fourth Proportional to 2,566.82, 3,541.90 and 1,447.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.82 : 3,541.90 = 1,447.68 : x
2. Step 2: Convert to fraction form
   2,566.82/3,541.90 = 1,447.68/x
3. Step 3: Cross multiply
   2,566.82x = 3,541.90 × 1,447.68
4. Step 4: Simplify right side
   2,566.82x = 5,127,534.17
5. Step 5: Solve for x
   x = 5,127,534.17/2,566.82
6. Step 6: Final answer
   x = 1,997.63