Finding the Fourth Proportional to 9,178.29, 12,665.75 and 5,199.39

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.29 : 12,665.75 = 5,199.39 : x
2. Step 2: Convert to fraction form
   9,178.29/12,665.75 = 5,199.39/x
3. Step 3: Cross multiply
   9,178.29x = 12,665.75 × 5,199.39
4. Step 4: Simplify right side
   9,178.29x = 65,854,147.90
5. Step 5: Solve for x
   x = 65,854,147.90/9,178.29
6. Step 6: Final answer
   x = 7,174.99