Finding the Fourth Proportional to 9,164.24, 12,647.88 and 5,438.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,164.24 : 12,647.88 = 5,438.48 : x
2. Step 2: Convert to fraction form
   9,164.24/12,647.88 = 5,438.48/x
3. Step 3: Cross multiply
   9,164.24x = 12,647.88 × 5,438.48
4. Step 4: Simplify right side
   9,164.24x = 68,785,242.42
5. Step 5: Solve for x
   x = 68,785,242.42/9,164.24
6. Step 6: Final answer
   x = 7,505.83