Finding the Fourth Proportional to 9,608.56, 13,259.82 and 5,416.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,608.56 : 13,259.82 = 5,416.81 : x
2. Step 2: Convert to fraction form
   9,608.56/13,259.82 = 5,416.81/x
3. Step 3: Cross multiply
   9,608.56x = 13,259.82 × 5,416.81
4. Step 4: Simplify right side
   9,608.56x = 71,825,925.57
5. Step 5: Solve for x
   x = 71,825,925.57/9,608.56
6. Step 6: Final answer
   x = 7,475.20