Finding the Fourth Proportional to 9,178.48, 12,665.88 and 5,200.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.48 : 12,665.88 = 5,200.18 : x
2. Step 2: Convert to fraction form
   9,178.48/12,665.88 = 5,200.18/x
3. Step 3: Cross multiply
   9,178.48x = 12,665.88 × 5,200.18
4. Step 4: Simplify right side
   9,178.48x = 65,864,855.86
5. Step 5: Solve for x
   x = 65,864,855.86/9,178.48
6. Step 6: Final answer
   x = 7,176.01