Finding the Fourth Proportional to 9,178.46, 12,665.28 and 5,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.46 : 12,665.28 = 5,199.50 : x
2. Step 2: Convert to fraction form
   9,178.46/12,665.28 = 5,199.50/x
3. Step 3: Cross multiply
   9,178.46x = 12,665.28 × 5,199.50
4. Step 4: Simplify right side
   9,178.46x = 65,853,123.36
5. Step 5: Solve for x
   x = 65,853,123.36/9,178.46
6. Step 6: Final answer
   x = 7,174.75