Finding the Fourth Proportional to 9,641.62, 13,309.76 and 5,662.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.62 : 13,309.76 = 5,662.98 : x
2. Step 2: Convert to fraction form
   9,641.62/13,309.76 = 5,662.98/x
3. Step 3: Cross multiply
   9,641.62x = 13,309.76 × 5,662.98
4. Step 4: Simplify right side
   9,641.62x = 75,372,904.68
5. Step 5: Solve for x
   x = 75,372,904.68/9,641.62
6. Step 6: Final answer
   x = 7,817.45