Finding the Fourth Proportional to 9,766.91, 13,478.35 and 5,401.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.91 : 13,478.35 = 5,401.28 : x
2. Step 2: Convert to fraction form
   9,766.91/13,478.35 = 5,401.28/x
3. Step 3: Cross multiply
   9,766.91x = 13,478.35 × 5,401.28
4. Step 4: Simplify right side
   9,766.91x = 72,800,342.29
5. Step 5: Solve for x
   x = 72,800,342.29/9,766.91
6. Step 6: Final answer
   x = 7,453.77