Finding the Fourth Proportional to 9,389.68, 12,958.50 and 5,198.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,389.68 : 12,958.50 = 5,198.56 : x
2. Step 2: Convert to fraction form
   9,389.68/12,958.50 = 5,198.56/x
3. Step 3: Cross multiply
   9,389.68x = 12,958.50 × 5,198.56
4. Step 4: Simplify right side
   9,389.68x = 67,365,539.76
5. Step 5: Solve for x
   x = 67,365,539.76/9,389.68
6. Step 6: Final answer
   x = 7,174.42