Finding the Fourth Proportional to 2,566.80, 3,541.92 and 1,447.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.80 : 3,541.92 = 1,447.56 : x
2. Step 2: Convert to fraction form
   2,566.80/3,541.92 = 1,447.56/x
3. Step 3: Cross multiply
   2,566.80x = 3,541.92 × 1,447.56
4. Step 4: Simplify right side
   2,566.80x = 5,127,141.72
5. Step 5: Solve for x
   x = 5,127,141.72/2,566.80
6. Step 6: Final answer
   x = 1,997.48