Finding the Fourth Proportional to 2,642.54, 3,646.53 and 1,447.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.54 : 3,646.53 = 1,447.47 : x
2. Step 2: Convert to fraction form
   2,642.54/3,646.53 = 1,447.47/x
3. Step 3: Cross multiply
   2,642.54x = 3,646.53 × 1,447.47
4. Step 4: Simplify right side
   2,642.54x = 5,278,242.78
5. Step 5: Solve for x
   x = 5,278,242.78/2,642.54
6. Step 6: Final answer
   x = 1,997.42