Finding the Fourth Proportional to 9,764, 14,648.50 and 2,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764 : 14,648.50 = 2,838.50 : x
2. Step 2: Convert to fraction form
   9,764/14,648.50 = 2,838.50/x
3. Step 3: Cross multiply
   9,764x = 14,648.50 × 2,838.50
4. Step 4: Simplify right side
   9,764x = 41,579,760.15
5. Step 5: Solve for x
   x = 41,579,760.15/9,764
6. Step 6: Final answer
   x = 4,258.48