Finding the Fourth Proportional to 9,736.05, 13,435.75 and 5,259.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,736.05 : 13,435.75 = 5,259.81 : x
2. Step 2: Convert to fraction form
   9,736.05/13,435.75 = 5,259.81/x
3. Step 3: Cross multiply
   9,736.05x = 13,435.75 × 5,259.81
4. Step 4: Simplify right side
   9,736.05x = 70,669,398.73
5. Step 5: Solve for x
   x = 70,669,398.73/9,736.05
6. Step 6: Final answer
   x = 7,258.53