Finding the Fourth Proportional to 2,585.76, 3,568.32 and 1,406.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.76 : 3,568.32 = 1,406.86 : x
2. Step 2: Convert to fraction form
   2,585.76/3,568.32 = 1,406.86/x
3. Step 3: Cross multiply
   2,585.76x = 3,568.32 × 1,406.86
4. Step 4: Simplify right side
   2,585.76x = 5,020,126.68
5. Step 5: Solve for x
   x = 5,020,126.68/2,585.76
6. Step 6: Final answer
   x = 1,941.45