Finding the Fourth Proportional to 2,586.79, 3,569.75 and 1,407.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.79 : 3,569.75 = 1,407.86 : x
2. Step 2: Convert to fraction form
   2,586.79/3,569.75 = 1,407.86/x
3. Step 3: Cross multiply
   2,586.79x = 3,569.75 × 1,407.86
4. Step 4: Simplify right side
   2,586.79x = 5,025,688.01
5. Step 5: Solve for x
   x = 5,025,688.01/2,586.79
6. Step 6: Final answer
   x = 1,942.83