Finding the Fourth Proportional to 2,586.75, 3,569.72 and 1,407.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.75 : 3,569.72 = 1,407.80 : x
2. Step 2: Convert to fraction form
   2,586.75/3,569.72 = 1,407.80/x
3. Step 3: Cross multiply
   2,586.75x = 3,569.72 × 1,407.80
4. Step 4: Simplify right side
   2,586.75x = 5,025,441.54
5. Step 5: Solve for x
   x = 5,025,441.54/2,586.75
6. Step 6: Final answer
   x = 1,942.76