Finding the Fourth Proportional to 2,586.10, 3,568.71 and 1,407.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.10 : 3,568.71 = 1,407.10 : x
2. Step 2: Convert to fraction form
   2,586.10/3,568.71 = 1,407.10/x
3. Step 3: Cross multiply
   2,586.10x = 3,568.71 × 1,407.10
4. Step 4: Simplify right side
   2,586.10x = 5,021,531.84
5. Step 5: Solve for x
   x = 5,021,531.84/2,586.10
6. Step 6: Final answer
   x = 1,941.74