Finding the Fourth Proportional to 3,868.16, 5,802.18 and 946.49

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.16 : 5,802.18 = 946.49 : x
2. Step 2: Convert to fraction form
   3,868.16/5,802.18 = 946.49/x
3. Step 3: Cross multiply
   3,868.16x = 5,802.18 × 946.49
4. Step 4: Simplify right side
   3,868.16x = 5,491,676.34
5. Step 5: Solve for x
   x = 5,491,676.34/3,868.16
6. Step 6: Final answer
   x = 1,419.71