Finding the Fourth Proportional to 2,586.15, 3,568.89 and 1,407.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.15 : 3,568.89 = 1,407.22 : x
2. Step 2: Convert to fraction form
   2,586.15/3,568.89 = 1,407.22/x
3. Step 3: Cross multiply
   2,586.15x = 3,568.89 × 1,407.22
4. Step 4: Simplify right side
   2,586.15x = 5,022,204.26
5. Step 5: Solve for x
   x = 5,022,204.26/2,586.15
6. Step 6: Final answer
   x = 1,941.96