Finding the Fourth Proportional to 9,766.17, 13,478.40 and 5,574.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.17 : 13,478.40 = 5,574.42 : x
2. Step 2: Convert to fraction form
   9,766.17/13,478.40 = 5,574.42/x
3. Step 3: Cross multiply
   9,766.17x = 13,478.40 × 5,574.42
4. Step 4: Simplify right side
   9,766.17x = 75,134,262.53
5. Step 5: Solve for x
   x = 75,134,262.53/9,766.17
6. Step 6: Final answer
   x = 7,693.32