Finding the Fourth Proportional to 2,586.56, 3,569.38 and 1,407.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.56 : 3,569.38 = 1,407.60 : x
2. Step 2: Convert to fraction form
   2,586.56/3,569.38 = 1,407.60/x
3. Step 3: Cross multiply
   2,586.56x = 3,569.38 × 1,407.60
4. Step 4: Simplify right side
   2,586.56x = 5,024,255.77
5. Step 5: Solve for x
   x = 5,024,255.77/2,586.56
6. Step 6: Final answer
   x = 1,942.45