Finding the Fourth Proportional to 9,178.08, 12,663.56 and 5,401.40

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.08 : 12,663.56 = 5,401.40 : x
2. Step 2: Convert to fraction form
   9,178.08/12,663.56 = 5,401.40/x
3. Step 3: Cross multiply
   9,178.08x = 12,663.56 × 5,401.40
4. Step 4: Simplify right side
   9,178.08x = 68,400,952.98
5. Step 5: Solve for x
   x = 68,400,952.98/9,178.08
6. Step 6: Final answer
   x = 7,452.64