Finding the Fourth Proportional to 2,586.34, 3,569.16 and 1,538.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.34 : 3,569.16 = 1,538.41 : x
2. Step 2: Convert to fraction form
   2,586.34/3,569.16 = 1,538.41/x
3. Step 3: Cross multiply
   2,586.34x = 3,569.16 × 1,538.41
4. Step 4: Simplify right side
   2,586.34x = 5,490,831.44
5. Step 5: Solve for x
   x = 5,490,831.44/2,586.34
6. Step 6: Final answer
   x = 2,123.01