Finding the Fourth Proportional to 2,601, 3,588.51 and 1,538.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601 : 3,588.51 = 1,538.79 : x
2. Step 2: Convert to fraction form
   2,601/3,588.51 = 1,538.79/x
3. Step 3: Cross multiply
   2,601x = 3,588.51 × 1,538.79
4. Step 4: Simplify right side
   2,601x = 5,521,963.30
5. Step 5: Solve for x
   x = 5,521,963.30/2,601
6. Step 6: Final answer
   x = 2,123.02