Finding the Fourth Proportional to 2,643.14, 3,647.23 and 1,523.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.14 : 3,647.23 = 1,523.86 : x
2. Step 2: Convert to fraction form
   2,643.14/3,647.23 = 1,523.86/x
3. Step 3: Cross multiply
   2,643.14x = 3,647.23 × 1,523.86
4. Step 4: Simplify right side
   2,643.14x = 5,557,867.91
5. Step 5: Solve for x
   x = 5,557,867.91/2,643.14
6. Step 6: Final answer
   x = 2,102.75