Finding the Fourth Proportional to 2,600.37, 3,588.09 and 1,538.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,600.37 : 3,588.09 = 1,538.16 : x
2. Step 2: Convert to fraction form
   2,600.37/3,588.09 = 1,538.16/x
3. Step 3: Cross multiply
   2,600.37x = 3,588.09 × 1,538.16
4. Step 4: Simplify right side
   2,600.37x = 5,519,056.51
5. Step 5: Solve for x
   x = 5,519,056.51/2,600.37
6. Step 6: Final answer
   x = 2,122.41