Finding the Fourth Proportional to 2,566.54, 3,541.82 and 1,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.54 : 3,541.82 = 1,447.50 : x
2. Step 2: Convert to fraction form
   2,566.54/3,541.82 = 1,447.50/x
3. Step 3: Cross multiply
   2,566.54x = 3,541.82 × 1,447.50
4. Step 4: Simplify right side
   2,566.54x = 5,126,764.68
5. Step 5: Solve for x
   x = 5,126,764.68/2,566.54
6. Step 6: Final answer
   x = 1,997.54