Finding the Fourth Proportional to 9,391.89, 12,960.83 and 5,142.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,391.89 : 12,960.83 = 5,142.98 : x
2. Step 2: Convert to fraction form
   9,391.89/12,960.83 = 5,142.98/x
3. Step 3: Cross multiply
   9,391.89x = 12,960.83 × 5,142.98
4. Step 4: Simplify right side
   9,391.89x = 66,657,296.16
5. Step 5: Solve for x
   x = 66,657,296.16/9,391.89
6. Step 6: Final answer
   x = 7,097.33