Finding the Fourth Proportional to 3,885.40, 5,828.00 and 963.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,885.40 : 5,828.00 = 963.67 : x
2. Step 2: Convert to fraction form
   3,885.40/5,828.00 = 963.67/x
3. Step 3: Cross multiply
   3,885.40x = 5,828.00 × 963.67
4. Step 4: Simplify right side
   3,885.40x = 5,616,263.94
5. Step 5: Solve for x
   x = 5,616,263.94/3,885.40
6. Step 6: Final answer
   x = 1,445.48