Finding the Fourth Proportional to 2,586.82, 3,569.81 and 1,407.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.82 : 3,569.81 = 1,407.89 : x
2. Step 2: Convert to fraction form
   2,586.82/3,569.81 = 1,407.89/x
3. Step 3: Cross multiply
   2,586.82x = 3,569.81 × 1,407.89
4. Step 4: Simplify right side
   2,586.82x = 5,025,899.80
5. Step 5: Solve for x
   x = 5,025,899.80/2,586.82
6. Step 6: Final answer
   x = 1,942.89