Finding the Fourth Proportional to 2,538.24, 3,500.91 and 1,686.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.24 : 3,500.91 = 1,686.52 : x
2. Step 2: Convert to fraction form
   2,538.24/3,500.91 = 1,686.52/x
3. Step 3: Cross multiply
   2,538.24x = 3,500.91 × 1,686.52
4. Step 4: Simplify right side
   2,538.24x = 5,904,354.73
5. Step 5: Solve for x
   x = 5,904,354.73/2,538.24
6. Step 6: Final answer
   x = 2,326.16