Finding the Fourth Proportional to 9,611.82, 13,264.62 and 5,578.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,611.82 : 13,264.62 = 5,578.34 : x
2. Step 2: Convert to fraction form
   9,611.82/13,264.62 = 5,578.34/x
3. Step 3: Cross multiply
   9,611.82x = 13,264.62 × 5,578.34
4. Step 4: Simplify right side
   9,611.82x = 73,994,591.09
5. Step 5: Solve for x
   x = 73,994,591.09/9,611.82
6. Step 6: Final answer
   x = 7,698.29