Finding the Fourth Proportional to 2,381.74, 3,287.96 and 1,586.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,381.74 : 3,287.96 = 1,586.40 : x
2. Step 2: Convert to fraction form
   2,381.74/3,287.96 = 1,586.40/x
3. Step 3: Cross multiply
   2,381.74x = 3,287.96 × 1,586.40
4. Step 4: Simplify right side
   2,381.74x = 5,216,019.74
5. Step 5: Solve for x
   x = 5,216,019.74/2,381.74
6. Step 6: Final answer
   x = 2,190.00