Finding the Fourth Proportional to 2,585.84, 3,568.52 and 1,406.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.84 : 3,568.52 = 1,406.93 : x
2. Step 2: Convert to fraction form
   2,585.84/3,568.52 = 1,406.93/x
3. Step 3: Cross multiply
   2,585.84x = 3,568.52 × 1,406.93
4. Step 4: Simplify right side
   2,585.84x = 5,020,632.97
5. Step 5: Solve for x
   x = 5,020,632.97/2,585.84
6. Step 6: Final answer
   x = 1,941.59