Finding the Fourth Proportional to 2,162.57, 2,984.77 and 1,416.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.57 : 2,984.77 = 1,416.25 : x
2. Step 2: Convert to fraction form
   2,162.57/2,984.77 = 1,416.25/x
3. Step 3: Cross multiply
   2,162.57x = 2,984.77 × 1,416.25
4. Step 4: Simplify right side
   2,162.57x = 4,227,190.00
5. Step 5: Solve for x
   x = 4,227,190.00/2,162.57
6. Step 6: Final answer
   x = 1,954.71