Finding the Fourth Proportional to 2,606.21, 3,596.57 and 1,411.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606.21 : 3,596.57 = 1,411.20 : x
2. Step 2: Convert to fraction form
   2,606.21/3,596.57 = 1,411.20/x
3. Step 3: Cross multiply
   2,606.21x = 3,596.57 × 1,411.20
4. Step 4: Simplify right side
   2,606.21x = 5,075,491.31
5. Step 5: Solve for x
   x = 5,075,491.31/2,606.21
6. Step 6: Final answer
   x = 1,947.46