Finding the Fourth Proportional to 3,868.47, 5,802.78 and 946.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.47 : 5,802.78 = 946.80 : x
2. Step 2: Convert to fraction form
   3,868.47/5,802.78 = 946.80/x
3. Step 3: Cross multiply
   3,868.47x = 5,802.78 × 946.80
4. Step 4: Simplify right side
   3,868.47x = 5,494,072.10
5. Step 5: Solve for x
   x = 5,494,072.10/3,868.47
6. Step 6: Final answer
   x = 1,420.22