Finding the Fourth Proportional to 2,066.81, 2,849.33 and 2,002.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066.81 : 2,849.33 = 2,002.19 : x
2. Step 2: Convert to fraction form
   2,066.81/2,849.33 = 2,002.19/x
3. Step 3: Cross multiply
   2,066.81x = 2,849.33 × 2,002.19
4. Step 4: Simplify right side
   2,066.81x = 5,704,875.78
5. Step 5: Solve for x
   x = 5,704,875.78/2,066.81
6. Step 6: Final answer
   x = 2,760.24