Finding the Fourth Proportional to 9,766.56, 14,643.36 and 3,523.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766.56 : 14,643.36 = 3,523.52 : x
2. Step 2: Convert to fraction form
   9,766.56/14,643.36 = 3,523.52/x
3. Step 3: Cross multiply
   9,766.56x = 14,643.36 × 3,523.52
4. Step 4: Simplify right side
   9,766.56x = 51,596,171.83
5. Step 5: Solve for x
   x = 51,596,171.83/9,766.56
6. Step 6: Final answer
   x = 5,282.94