Finding the Fourth Proportional to 2,600.72, 3,589.25 and 1,538.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,600.72 : 3,589.25 = 1,538.83 : x
2. Step 2: Convert to fraction form
   2,600.72/3,589.25 = 1,538.83/x
3. Step 3: Cross multiply
   2,600.72x = 3,589.25 × 1,538.83
4. Step 4: Simplify right side
   2,600.72x = 5,523,245.58
5. Step 5: Solve for x
   x = 5,523,245.58/2,600.72
6. Step 6: Final answer
   x = 2,123.74