Finding the Fourth Proportional to 2,583.90, 3,565.74 and 1,405

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.90 : 3,565.74 = 1,405 : x
2. Step 2: Convert to fraction form
   2,583.90/3,565.74 = 1,405/x
3. Step 3: Cross multiply
   2,583.90x = 3,565.74 × 1,405
4. Step 4: Simplify right side
   2,583.90x = 5,009,864.70
5. Step 5: Solve for x
   x = 5,009,864.70/2,583.90
6. Step 6: Final answer
   x = 1,938.88