Finding the Fourth Proportional to 9,605.46, 13,256.56 and 5,629.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,605.46 : 13,256.56 = 5,629.92 : x
2. Step 2: Convert to fraction form
   9,605.46/13,256.56 = 5,629.92/x
3. Step 3: Cross multiply
   9,605.46x = 13,256.56 × 5,629.92
4. Step 4: Simplify right side
   9,605.46x = 74,633,372.28
5. Step 5: Solve for x
   x = 74,633,372.28/9,605.46
6. Step 6: Final answer
   x = 7,769.89