Finding the Fourth Proportional to 9,194.21, 12,690.61 and 5,419.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,194.21 : 12,690.61 = 5,419.56 : x
2. Step 2: Convert to fraction form
   9,194.21/12,690.61 = 5,419.56/x
3. Step 3: Cross multiply
   9,194.21x = 12,690.61 × 5,419.56
4. Step 4: Simplify right side
   9,194.21x = 68,777,508.78
5. Step 5: Solve for x
   x = 68,777,508.78/9,194.21
6. Step 6: Final answer
   x = 7,480.53