Finding the Fourth Proportional to 2,586.38, 3,569.18 and 1,407.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.38 : 3,569.18 = 1,407.42 : x
2. Step 2: Convert to fraction form
   2,586.38/3,569.18 = 1,407.42/x
3. Step 3: Cross multiply
   2,586.38x = 3,569.18 × 1,407.42
4. Step 4: Simplify right side
   2,586.38x = 5,023,328.28
5. Step 5: Solve for x
   x = 5,023,328.28/2,586.38
6. Step 6: Final answer
   x = 1,942.23