Finding the Fourth Proportional to 9,345.35, 12,896.42 and 5,096.44

Step by Step Solution

1. Step 1: Write the proportion equation
   9,345.35 : 12,896.42 = 5,096.44 : x
2. Step 2: Convert to fraction form
   9,345.35/12,896.42 = 5,096.44/x
3. Step 3: Cross multiply
   9,345.35x = 12,896.42 × 5,096.44
4. Step 4: Simplify right side
   9,345.35x = 65,725,856.62
5. Step 5: Solve for x
   x = 65,725,856.62/9,345.35
6. Step 6: Final answer
   x = 7,033.00