Finding the Fourth Proportional to 9,611.47, 13,263.17 and 5,578.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,611.47 : 13,263.17 = 5,578.41 : x
2. Step 2: Convert to fraction form
   9,611.47/13,263.17 = 5,578.41/x
3. Step 3: Cross multiply
   9,611.47x = 13,263.17 × 5,578.41
4. Step 4: Simplify right side
   9,611.47x = 73,987,372.27
5. Step 5: Solve for x
   x = 73,987,372.27/9,611.47
6. Step 6: Final answer
   x = 7,697.82