Finding the Fourth Proportional to 9,093.57, 12,544.89 and 5,906.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,093.57 : 12,544.89 = 5,906.64 : x
2. Step 2: Convert to fraction form
   9,093.57/12,544.89 = 5,906.64/x
3. Step 3: Cross multiply
   9,093.57x = 12,544.89 × 5,906.64
4. Step 4: Simplify right side
   9,093.57x = 74,098,149.07
5. Step 5: Solve for x
   x = 74,098,149.07/9,093.57
6. Step 6: Final answer
   x = 8,148.41