Finding the Fourth Proportional to 2,599.20, 3,586.89 and 1,404.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.20 : 3,586.89 = 1,404.19 : x
2. Step 2: Convert to fraction form
   2,599.20/3,586.89 = 1,404.19/x
3. Step 3: Cross multiply
   2,599.20x = 3,586.89 × 1,404.19
4. Step 4: Simplify right side
   2,599.20x = 5,036,660.65
5. Step 5: Solve for x
   x = 5,036,660.65/2,599.20
6. Step 6: Final answer
   x = 1,937.77