Finding the Fourth Proportional to 2,585.70, 3,569.04 and 1,538.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.70 : 3,569.04 = 1,538.37 : x
2. Step 2: Convert to fraction form
   2,585.70/3,569.04 = 1,538.37/x
3. Step 3: Cross multiply
   2,585.70x = 3,569.04 × 1,538.37
4. Step 4: Simplify right side
   2,585.70x = 5,490,504.06
5. Step 5: Solve for x
   x = 5,490,504.06/2,585.70
6. Step 6: Final answer
   x = 2,123.41