Finding the Fourth Proportional to 2,585.36, 3,568.56 and 1,538.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.36 : 3,568.56 = 1,538.12 : x
2. Step 2: Convert to fraction form
   2,585.36/3,568.56 = 1,538.12/x
3. Step 3: Cross multiply
   2,585.36x = 3,568.56 × 1,538.12
4. Step 4: Simplify right side
   2,585.36x = 5,488,873.51
5. Step 5: Solve for x
   x = 5,488,873.51/2,585.36
6. Step 6: Final answer
   x = 2,123.06