Finding the Fourth Proportional to 9,395.57, 12,965.39 and 5,146.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,395.57 : 12,965.39 = 5,146.42 : x
2. Step 2: Convert to fraction form
   9,395.57/12,965.39 = 5,146.42/x
3. Step 3: Cross multiply
   9,395.57x = 12,965.39 × 5,146.42
4. Step 4: Simplify right side
   9,395.57x = 66,725,288.90
5. Step 5: Solve for x
   x = 66,725,288.90/9,395.57
6. Step 6: Final answer
   x = 7,101.78