Finding the Fourth Proportional to 9,385.16, 12,951.92 and 5,193.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,385.16 : 12,951.92 = 5,193.42 : x
2. Step 2: Convert to fraction form
   9,385.16/12,951.92 = 5,193.42/x
3. Step 3: Cross multiply
   9,385.16x = 12,951.92 × 5,193.42
4. Step 4: Simplify right side
   9,385.16x = 67,264,760.37
5. Step 5: Solve for x
   x = 67,264,760.37/9,385.16
6. Step 6: Final answer
   x = 7,167.14