Finding the Fourth Proportional to 9,578.81, 13,216.78 and 5,599.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.81 : 13,216.78 = 5,599.15 : x
2. Step 2: Convert to fraction form
   9,578.81/13,216.78 = 5,599.15/x
3. Step 3: Cross multiply
   9,578.81x = 13,216.78 × 5,599.15
4. Step 4: Simplify right side
   9,578.81x = 74,002,725.76
5. Step 5: Solve for x
   x = 74,002,725.76/9,578.81
6. Step 6: Final answer
   x = 7,725.67