Finding the Fourth Proportional to 9,640.29, 13,303.69 and 5,661.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,640.29 : 13,303.69 = 5,661.47 : x
2. Step 2: Convert to fraction form
   9,640.29/13,303.69 = 5,661.47/x
3. Step 3: Cross multiply
   9,640.29x = 13,303.69 × 5,661.47
4. Step 4: Simplify right side
   9,640.29x = 75,318,441.82
5. Step 5: Solve for x
   x = 75,318,441.82/9,640.29
6. Step 6: Final answer
   x = 7,812.88