Finding the Fourth Proportional to 9,380.50, 12,945.10 and 5,189.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.50 : 12,945.10 = 5,189.02 : x
2. Step 2: Convert to fraction form
   9,380.50/12,945.10 = 5,189.02/x
3. Step 3: Cross multiply
   9,380.50x = 12,945.10 × 5,189.02
4. Step 4: Simplify right side
   9,380.50x = 67,172,382.80
5. Step 5: Solve for x
   x = 67,172,382.80/9,380.50
6. Step 6: Final answer
   x = 7,160.85