Finding the Fourth Proportional to 2,002.86, 3,002.94 and 704.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.86 : 3,002.94 = 704.16 : x
2. Step 2: Convert to fraction form
   2,002.86/3,002.94 = 704.16/x
3. Step 3: Cross multiply
   2,002.86x = 3,002.94 × 704.16
4. Step 4: Simplify right side
   2,002.86x = 2,114,550.23
5. Step 5: Solve for x
   x = 2,114,550.23/2,002.86
6. Step 6: Final answer
   x = 1,055.77