Finding the Fourth Proportional to 9,643.55, 13,306.68 and 5,665.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.55 : 13,306.68 = 5,665.94 : x
2. Step 2: Convert to fraction form
   9,643.55/13,306.68 = 5,665.94/x
3. Step 3: Cross multiply
   9,643.55x = 13,306.68 × 5,665.94
4. Step 4: Simplify right side
   9,643.55x = 75,394,783.95
5. Step 5: Solve for x
   x = 75,394,783.95/9,643.55
6. Step 6: Final answer
   x = 7,818.16