Finding the Fourth Proportional to 2,566.78, 3,541.71 and 1,447.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.78 : 3,541.71 = 1,447.60 : x
2. Step 2: Convert to fraction form
   2,566.78/3,541.71 = 1,447.60/x
3. Step 3: Cross multiply
   2,566.78x = 3,541.71 × 1,447.60
4. Step 4: Simplify right side
   2,566.78x = 5,126,979.40
5. Step 5: Solve for x
   x = 5,126,979.40/2,566.78
6. Step 6: Final answer
   x = 1,997.44