Finding the Fourth Proportional to 9,345.12, 12,896.04 and 5,153.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,345.12 : 12,896.04 = 5,153.28 : x
2. Step 2: Convert to fraction form
   9,345.12/12,896.04 = 5,153.28/x
3. Step 3: Cross multiply
   9,345.12x = 12,896.04 × 5,153.28
4. Step 4: Simplify right side
   9,345.12x = 66,456,905.01
5. Step 5: Solve for x
   x = 66,456,905.01/9,345.12
6. Step 6: Final answer
   x = 7,111.40