Finding the Fourth Proportional to 9,395.10, 12,965.25 and 5,416.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,395.10 : 12,965.25 = 5,416.48 : x
2. Step 2: Convert to fraction form
   9,395.10/12,965.25 = 5,416.48/x
3. Step 3: Cross multiply
   9,395.10x = 12,965.25 × 5,416.48
4. Step 4: Simplify right side
   9,395.10x = 70,226,017.32
5. Step 5: Solve for x
   x = 70,226,017.32/9,395.10
6. Step 6: Final answer
   x = 7,474.75