Finding the Fourth Proportional to 3,868.30, 5,802.56 and 946.61

Step by Step Solution

1. Step 1: Write the proportion equation
   3,868.30 : 5,802.56 = 946.61 : x
2. Step 2: Convert to fraction form
   3,868.30/5,802.56 = 946.61/x
3. Step 3: Cross multiply
   3,868.30x = 5,802.56 × 946.61
4. Step 4: Simplify right side
   3,868.30x = 5,492,732.31
5. Step 5: Solve for x
   x = 5,492,732.31/3,868.30
6. Step 6: Final answer
   x = 1,419.94