Finding the Fourth Proportional to 2,601.05, 3,589.38 and 1,538.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.05 : 3,589.38 = 1,538.80 : x
2. Step 2: Convert to fraction form
   2,601.05/3,589.38 = 1,538.80/x
3. Step 3: Cross multiply
   2,601.05x = 3,589.38 × 1,538.80
4. Step 4: Simplify right side
   2,601.05x = 5,523,328.97
5. Step 5: Solve for x
   x = 5,523,328.97/2,601.05
6. Step 6: Final answer
   x = 2,123.50