Finding the Fourth Proportional to 3,884.02, 5,825.98 and 962.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,884.02 : 5,825.98 = 962.30 : x
2. Step 2: Convert to fraction form
   3,884.02/5,825.98 = 962.30/x
3. Step 3: Cross multiply
   3,884.02x = 5,825.98 × 962.30
4. Step 4: Simplify right side
   3,884.02x = 5,606,318.14
5. Step 5: Solve for x
   x = 5,606,318.14/3,884.02
6. Step 6: Final answer
   x = 1,443.43