Finding the Fourth Proportional to 2,585.86, 3,568.49 and 1,406.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.86 : 3,568.49 = 1,406.93 : x
2. Step 2: Convert to fraction form
   2,585.86/3,568.49 = 1,406.93/x
3. Step 3: Cross multiply
   2,585.86x = 3,568.49 × 1,406.93
4. Step 4: Simplify right side
   2,585.86x = 5,020,590.76
5. Step 5: Solve for x
   x = 5,020,590.76/2,585.86
6. Step 6: Final answer
   x = 1,941.56