Finding the Fourth Proportional to 9,764.34, 14,653.77 and 5,606.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,764.34 : 14,653.77 = 5,606.34 : x
2. Step 2: Convert to fraction form
   9,764.34/14,653.77 = 5,606.34/x
3. Step 3: Cross multiply
   9,764.34x = 14,653.77 × 5,606.34
4. Step 4: Simplify right side
   9,764.34x = 82,154,016.90
5. Step 5: Solve for x
   x = 82,154,016.90/9,764.34
6. Step 6: Final answer
   x = 8,413.68