Finding the Fourth Proportional to 9,606.78, 13,258.64 and 5,629.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.78 : 13,258.64 = 5,629.47 : x
2. Step 2: Convert to fraction form
   9,606.78/13,258.64 = 5,629.47/x
3. Step 3: Cross multiply
   9,606.78x = 13,258.64 × 5,629.47
4. Step 4: Simplify right side
   9,606.78x = 74,639,116.12
5. Step 5: Solve for x
   x = 74,639,116.12/9,606.78
6. Step 6: Final answer
   x = 7,769.42