Finding the Fourth Proportional to 9,609.30, 13,256.24 and 5,627.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,609.30 : 13,256.24 = 5,627.96 : x
2. Step 2: Convert to fraction form
   9,609.30/13,256.24 = 5,627.96/x
3. Step 3: Cross multiply
   9,609.30x = 13,256.24 × 5,627.96
4. Step 4: Simplify right side
   9,609.30x = 74,605,588.47
5. Step 5: Solve for x
   x = 74,605,588.47/9,609.30
6. Step 6: Final answer
   x = 7,763.89