Finding the Fourth Proportional to 9,764.50, 13,475 and 5,288.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764.50 : 13,475 = 5,288.26 : x
2. Step 2: Convert to fraction form
   9,764.50/13,475 = 5,288.26/x
3. Step 3: Cross multiply
   9,764.50x = 13,475 × 5,288.26
4. Step 4: Simplify right side
   9,764.50x = 71,259,303.50
5. Step 5: Solve for x
   x = 71,259,303.50/9,764.50
6. Step 6: Final answer
   x = 7,297.79