Finding the Fourth Proportional to 2,586.42, 3,569.34 and 1,407.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.42 : 3,569.34 = 1,407.57 : x
2. Step 2: Convert to fraction form
   2,586.42/3,569.34 = 1,407.57/x
3. Step 3: Cross multiply
   2,586.42x = 3,569.34 × 1,407.57
4. Step 4: Simplify right side
   2,586.42x = 5,024,095.90
5. Step 5: Solve for x
   x = 5,024,095.90/2,586.42
6. Step 6: Final answer
   x = 1,942.49