Finding the Fourth Proportional to 2,802.21, 4,202.10 and 952.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,802.21 : 4,202.10 = 952.83 : x
2. Step 2: Convert to fraction form
   2,802.21/4,202.10 = 952.83/x
3. Step 3: Cross multiply
   2,802.21x = 4,202.10 × 952.83
4. Step 4: Simplify right side
   2,802.21x = 4,003,899.83
5. Step 5: Solve for x
   x = 4,003,899.83/2,802.21
6. Step 6: Final answer
   x = 1,428.84