Finding the Fourth Proportional to 2,002.29, 3,004.74 and 906.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.29 : 3,004.74 = 906.75 : x
2. Step 2: Convert to fraction form
   2,002.29/3,004.74 = 906.75/x
3. Step 3: Cross multiply
   2,002.29x = 3,004.74 × 906.75
4. Step 4: Simplify right side
   2,002.29x = 2,724,548.00
5. Step 5: Solve for x
   x = 2,724,548.00/2,002.29
6. Step 6: Final answer
   x = 1,360.72