Finding the Fourth Proportional to 2,585.90, 3,568.49 and 1,407

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.90 : 3,568.49 = 1,407 : x
2. Step 2: Convert to fraction form
   2,585.90/3,568.49 = 1,407/x
3. Step 3: Cross multiply
   2,585.90x = 3,568.49 × 1,407
4. Step 4: Simplify right side
   2,585.90x = 5,020,865.43
5. Step 5: Solve for x
   x = 5,020,865.43/2,585.90
6. Step 6: Final answer
   x = 1,941.63