Finding the Fourth Proportional to 9,641.57, 13,305.47 and 5,662.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.57 : 13,305.47 = 5,662.76 : x
2. Step 2: Convert to fraction form
   9,641.57/13,305.47 = 5,662.76/x
3. Step 3: Cross multiply
   9,641.57x = 13,305.47 × 5,662.76
4. Step 4: Simplify right side
   9,641.57x = 75,345,588.46
5. Step 5: Solve for x
   x = 75,345,588.46/9,641.57
6. Step 6: Final answer
   x = 7,814.66