Finding the Fourth Proportional to 9,641.08, 13,303.20 and 5,661.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,641.08 : 13,303.20 = 5,661.82 : x
2. Step 2: Convert to fraction form
   9,641.08/13,303.20 = 5,661.82/x
3. Step 3: Cross multiply
   9,641.08x = 13,303.20 × 5,661.82
4. Step 4: Simplify right side
   9,641.08x = 75,320,323.82
5. Step 5: Solve for x
   x = 75,320,323.82/9,641.08
6. Step 6: Final answer
   x = 7,812.44