Finding the Fourth Proportional to 2,585.64, 3,569.00 and 1,523.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.64 : 3,569.00 = 1,523.33 : x
2. Step 2: Convert to fraction form
   2,585.64/3,569.00 = 1,523.33/x
3. Step 3: Cross multiply
   2,585.64x = 3,569.00 × 1,523.33
4. Step 4: Simplify right side
   2,585.64x = 5,436,739.31
5. Step 5: Solve for x
   x = 5,436,739.31/2,585.64
6. Step 6: Final answer
   x = 2,102.67