Finding the Fourth Proportional to 2,584.46, 3,870.50 and 1,412.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.46 : 3,870.50 = 1,412.70 : x
2. Step 2: Convert to fraction form
   2,584.46/3,870.50 = 1,412.70/x
3. Step 3: Cross multiply
   2,584.46x = 3,870.50 × 1,412.70
4. Step 4: Simplify right side
   2,584.46x = 5,467,848.29
5. Step 5: Solve for x
   x = 5,467,848.29/2,584.46
6. Step 6: Final answer
   x = 2,115.67