Finding the Fourth Proportional to 9,735.50, 13,434.99 and 5,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735.50 : 13,434.99 = 5,319.50 : x
2. Step 2: Convert to fraction form
   9,735.50/13,434.99 = 5,319.50/x
3. Step 3: Cross multiply
   9,735.50x = 13,434.99 × 5,319.50
4. Step 4: Simplify right side
   9,735.50x = 71,467,429.31
5. Step 5: Solve for x
   x = 71,467,429.31/9,735.50
6. Step 6: Final answer
   x = 7,340.91