Finding the Fourth Proportional to 9,114.16, 12,578.88 and 5,576.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.16 : 12,578.88 = 5,576.80 : x
2. Step 2: Convert to fraction form
   9,114.16/12,578.88 = 5,576.80/x
3. Step 3: Cross multiply
   9,114.16x = 12,578.88 × 5,576.80
4. Step 4: Simplify right side
   9,114.16x = 70,149,897.98
5. Step 5: Solve for x
   x = 70,149,897.98/9,114.16
6. Step 6: Final answer
   x = 7,696.80