Finding the Fourth Proportional to 2,586.52, 3,569.39 and 1,407.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.52 : 3,569.39 = 1,407.59 : x
2. Step 2: Convert to fraction form
   2,586.52/3,569.39 = 1,407.59/x
3. Step 3: Cross multiply
   2,586.52x = 3,569.39 × 1,407.59
4. Step 4: Simplify right side
   2,586.52x = 5,024,255.49
5. Step 5: Solve for x
   x = 5,024,255.49/2,586.52
6. Step 6: Final answer
   x = 1,942.48