Finding the Fourth Proportional to 9,606.80, 13,258.69 and 5,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.80 : 13,258.69 = 5,629.50 : x
2. Step 2: Convert to fraction form
   9,606.80/13,258.69 = 5,629.50/x
3. Step 3: Cross multiply
   9,606.80x = 13,258.69 × 5,629.50
4. Step 4: Simplify right side
   9,606.80x = 74,639,781.28
5. Step 5: Solve for x
   x = 74,639,781.28/9,606.80
6. Step 6: Final answer
   x = 7,769.47