Finding the Fourth Proportional to 2,589.50, 3,884.59 and 946.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.50 : 3,884.59 = 946.82 : x
2. Step 2: Convert to fraction form
   2,589.50/3,884.59 = 946.82/x
3. Step 3: Cross multiply
   2,589.50x = 3,884.59 × 946.82
4. Step 4: Simplify right side
   2,589.50x = 3,678,018.40
5. Step 5: Solve for x
   x = 3,678,018.40/2,589.50
6. Step 6: Final answer
   x = 1,420.36