Finding the Fourth Proportional to 9,735.29, 13,434.70 and 5,259.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735.29 : 13,434.70 = 5,259.04 : x
2. Step 2: Convert to fraction form
   9,735.29/13,434.70 = 5,259.04/x
3. Step 3: Cross multiply
   9,735.29x = 13,434.70 × 5,259.04
4. Step 4: Simplify right side
   9,735.29x = 70,653,632.59
5. Step 5: Solve for x
   x = 70,653,632.59/9,735.29
6. Step 6: Final answer
   x = 7,257.48