Finding the Fourth Proportional to 9,146.10, 12,619.95 and 5,369.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,146.10 : 12,619.95 = 5,369.42 : x
2. Step 2: Convert to fraction form
   9,146.10/12,619.95 = 5,369.42/x
3. Step 3: Cross multiply
   9,146.10x = 12,619.95 × 5,369.42
4. Step 4: Simplify right side
   9,146.10x = 67,761,785.08
5. Step 5: Solve for x
   x = 67,761,785.08/9,146.10
6. Step 6: Final answer
   x = 7,408.82