Finding the Fourth Proportional to 2,002.51, 2,762.67 and 1,412.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.51 : 2,762.67 = 1,412.83 : x
2. Step 2: Convert to fraction form
   2,002.51/2,762.67 = 1,412.83/x
3. Step 3: Cross multiply
   2,002.51x = 2,762.67 × 1,412.83
4. Step 4: Simplify right side
   2,002.51x = 3,903,183.06
5. Step 5: Solve for x
   x = 3,903,183.06/2,002.51
6. Step 6: Final answer
   x = 1,949.15