Finding the Fourth Proportional to 2,645.12, 3,962.52 and 1,412.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.12 : 3,962.52 = 1,412.10 : x
2. Step 2: Convert to fraction form
   2,645.12/3,962.52 = 1,412.10/x
3. Step 3: Cross multiply
   2,645.12x = 3,962.52 × 1,412.10
4. Step 4: Simplify right side
   2,645.12x = 5,595,474.49
5. Step 5: Solve for x
   x = 5,595,474.49/2,645.12
6. Step 6: Final answer
   x = 2,115.39