Finding the Fourth Proportional to 9,766.34, 13,477.38 and 5,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.34 : 13,477.38 = 5,574.50 : x
2. Step 2: Convert to fraction form
   9,766.34/13,477.38 = 5,574.50/x
3. Step 3: Cross multiply
   9,766.34x = 13,477.38 × 5,574.50
4. Step 4: Simplify right side
   9,766.34x = 75,129,654.81
5. Step 5: Solve for x
   x = 75,129,654.81/9,766.34
6. Step 6: Final answer
   x = 7,692.71