Finding the Fourth Proportional to 9,114.02, 12,578.22 and 5,336.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.02 : 12,578.22 = 5,336.96 : x
2. Step 2: Convert to fraction form
   9,114.02/12,578.22 = 5,336.96/x
3. Step 3: Cross multiply
   9,114.02x = 12,578.22 × 5,336.96
4. Step 4: Simplify right side
   9,114.02x = 67,129,394.12
5. Step 5: Solve for x
   x = 67,129,394.12/9,114.02
6. Step 6: Final answer
   x = 7,365.51