Finding the Fourth Proportional to 9,196.62, 12,689.11 and 5,419.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.62 : 12,689.11 = 5,419.93 : x
2. Step 2: Convert to fraction form
   9,196.62/12,689.11 = 5,419.93/x
3. Step 3: Cross multiply
   9,196.62x = 12,689.11 × 5,419.93
4. Step 4: Simplify right side
   9,196.62x = 68,774,087.96
5. Step 5: Solve for x
   x = 68,774,087.96/9,196.62
6. Step 6: Final answer
   x = 7,478.19