Finding the Fourth Proportional to 2,002.26, 3,003.18 and 947.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.26 : 3,003.18 = 947.82 : x
2. Step 2: Convert to fraction form
   2,002.26/3,003.18 = 947.82/x
3. Step 3: Cross multiply
   2,002.26x = 3,003.18 × 947.82
4. Step 4: Simplify right side
   2,002.26x = 2,846,474.07
5. Step 5: Solve for x
   x = 2,846,474.07/2,002.26
6. Step 6: Final answer
   x = 1,421.63