Finding the Fourth Proportional to 9,640.48, 13,303.17 and 5,661.05

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.48 : 13,303.17 = 5,661.05 : x
2. Step 2: Convert to fraction form
   9,640.48/13,303.17 = 5,661.05/x
3. Step 3: Cross multiply
   9,640.48x = 13,303.17 × 5,661.05
4. Step 4: Simplify right side
   9,640.48x = 75,309,910.53
5. Step 5: Solve for x
   x = 75,309,910.53/9,640.48
6. Step 6: Final answer
   x = 7,811.84