Finding the Fourth Proportional to 9,345.02, 12,896.28 and 5,096.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,345.02 : 12,896.28 = 5,096.16 : x
2. Step 2: Convert to fraction form
   9,345.02/12,896.28 = 5,096.16/x
3. Step 3: Cross multiply
   9,345.02x = 12,896.28 × 5,096.16
4. Step 4: Simplify right side
   9,345.02x = 65,721,506.28
5. Step 5: Solve for x
   x = 65,721,506.28/9,345.02
6. Step 6: Final answer
   x = 7,032.79