Finding the Fourth Proportional to 2,152.37, 3,221.57 and 1,412.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.37 : 3,221.57 = 1,412.64 : x
2. Step 2: Convert to fraction form
   2,152.37/3,221.57 = 1,412.64/x
3. Step 3: Cross multiply
   2,152.37x = 3,221.57 × 1,412.64
4. Step 4: Simplify right side
   2,152.37x = 4,550,922.18
5. Step 5: Solve for x
   x = 4,550,922.18/2,152.37
6. Step 6: Final answer
   x = 2,114.37