Finding the Fourth Proportional to 9,511.20, 13,128.72 and 5,736.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,511.20 : 13,128.72 = 5,736.48 : x
2. Step 2: Convert to fraction form
   9,511.20/13,128.72 = 5,736.48/x
3. Step 3: Cross multiply
   9,511.20x = 13,128.72 × 5,736.48
4. Step 4: Simplify right side
   9,511.20x = 75,312,639.71
5. Step 5: Solve for x
   x = 75,312,639.71/9,511.20
6. Step 6: Final answer
   x = 7,918.31