Finding the Fourth Proportional to 2,585.79, 3,568.82 and 1,538.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.79 : 3,568.82 = 1,538.55 : x
2. Step 2: Convert to fraction form
   2,585.79/3,568.82 = 1,538.55/x
3. Step 3: Cross multiply
   2,585.79x = 3,568.82 × 1,538.55
4. Step 4: Simplify right side
   2,585.79x = 5,490,800.32
5. Step 5: Solve for x
   x = 5,490,800.32/2,585.79
6. Step 6: Final answer
   x = 2,123.45