Finding the Fourth Proportional to 2,586.60, 3,569.59 and 1,407.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.60 : 3,569.59 = 1,407.71 : x
2. Step 2: Convert to fraction form
   2,586.60/3,569.59 = 1,407.71/x
3. Step 3: Cross multiply
   2,586.60x = 3,569.59 × 1,407.71
4. Step 4: Simplify right side
   2,586.60x = 5,024,947.54
5. Step 5: Solve for x
   x = 5,024,947.54/2,586.60
6. Step 6: Final answer
   x = 1,942.68