Finding the Fourth Proportional to 9,178.06, 12,665.31 and 5,199.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.06 : 12,665.31 = 5,199.09 : x
2. Step 2: Convert to fraction form
   9,178.06/12,665.31 = 5,199.09/x
3. Step 3: Cross multiply
   9,178.06x = 12,665.31 × 5,199.09
4. Step 4: Simplify right side
   9,178.06x = 65,848,099.57
5. Step 5: Solve for x
   x = 65,848,099.57/9,178.06
6. Step 6: Final answer
   x = 7,174.51