Finding the Fourth Proportional to 9,385.50, 12,951.99 and 5,194.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.50 : 12,951.99 = 5,194.38 : x
2. Step 2: Convert to fraction form
   9,385.50/12,951.99 = 5,194.38/x
3. Step 3: Cross multiply
   9,385.50x = 12,951.99 × 5,194.38
4. Step 4: Simplify right side
   9,385.50x = 67,277,557.82
5. Step 5: Solve for x
   x = 67,277,557.82/9,385.50
6. Step 6: Final answer
   x = 7,168.24