Finding the Fourth Proportional to 2,578.41, 3,560.06 and 1,585.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.41 : 3,560.06 = 1,585.02 : x
2. Step 2: Convert to fraction form
   2,578.41/3,560.06 = 1,585.02/x
3. Step 3: Cross multiply
   2,578.41x = 3,560.06 × 1,585.02
4. Step 4: Simplify right side
   2,578.41x = 5,642,758.38
5. Step 5: Solve for x
   x = 5,642,758.38/2,578.41
6. Step 6: Final answer
   x = 2,188.46