Finding the Fourth Proportional to 9,578.40, 13,218.71 and 5,601.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,578.40 : 13,218.71 = 5,601.84 : x
2. Step 2: Convert to fraction form
   9,578.40/13,218.71 = 5,601.84/x
3. Step 3: Cross multiply
   9,578.40x = 13,218.71 × 5,601.84
4. Step 4: Simplify right side
   9,578.40x = 74,049,070.42
5. Step 5: Solve for x
   x = 74,049,070.42/9,578.40
6. Step 6: Final answer
   x = 7,730.84