Finding the Fourth Proportional to 2,586.53, 3,569.24 and 1,538.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.53 : 3,569.24 = 1,538.39 : x
2. Step 2: Convert to fraction form
   2,586.53/3,569.24 = 1,538.39/x
3. Step 3: Cross multiply
   2,586.53x = 3,569.24 × 1,538.39
4. Step 4: Simplify right side
   2,586.53x = 5,490,869.12
5. Step 5: Solve for x
   x = 5,490,869.12/2,586.53
6. Step 6: Final answer
   x = 2,122.87