Finding the Fourth Proportional to 2,150.25, 2,967.12 and 1,205.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150.25 : 2,967.12 = 1,205.96 : x
2. Step 2: Convert to fraction form
   2,150.25/2,967.12 = 1,205.96/x
3. Step 3: Cross multiply
   2,150.25x = 2,967.12 × 1,205.96
4. Step 4: Simplify right side
   2,150.25x = 3,578,228.04
5. Step 5: Solve for x
   x = 3,578,228.04/2,150.25
6. Step 6: Final answer
   x = 1,664.10