Finding the Fourth Proportional to 3,868.25, 5,802.30 and 946.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.25 : 5,802.30 = 946.53 : x
2. Step 2: Convert to fraction form
   3,868.25/5,802.30 = 946.53/x
3. Step 3: Cross multiply
   3,868.25x = 5,802.30 × 946.53
4. Step 4: Simplify right side
   3,868.25x = 5,492,051.02
5. Step 5: Solve for x
   x = 5,492,051.02/3,868.25
6. Step 6: Final answer
   x = 1,419.78