Finding the Fourth Proportional to 2,642.04, 3,645.86 and 1,447

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.04 : 3,645.86 = 1,447 : x
2. Step 2: Convert to fraction form
   2,642.04/3,645.86 = 1,447/x
3. Step 3: Cross multiply
   2,642.04x = 3,645.86 × 1,447
4. Step 4: Simplify right side
   2,642.04x = 5,275,559.42
5. Step 5: Solve for x
   x = 5,275,559.42/2,642.04
6. Step 6: Final answer
   x = 1,996.77