Finding the Fourth Proportional to 9,389.64, 12,958.61 and 5,197.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,389.64 : 12,958.61 = 5,197.89 : x
2. Step 2: Convert to fraction form
   9,389.64/12,958.61 = 5,197.89/x
3. Step 3: Cross multiply
   9,389.64x = 12,958.61 × 5,197.89
4. Step 4: Simplify right side
   9,389.64x = 67,357,403.34
5. Step 5: Solve for x
   x = 67,357,403.34/9,389.64
6. Step 6: Final answer
   x = 7,173.59