Finding the Fourth Proportional to 2,586.46, 3,569.34 and 1,407.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.46 : 3,569.34 = 1,407.54 : x
2. Step 2: Convert to fraction form
   2,586.46/3,569.34 = 1,407.54/x
3. Step 3: Cross multiply
   2,586.46x = 3,569.34 × 1,407.54
4. Step 4: Simplify right side
   2,586.46x = 5,023,988.82
5. Step 5: Solve for x
   x = 5,023,988.82/2,586.46
6. Step 6: Final answer
   x = 1,942.42