Finding the Fourth Proportional to 9,384.91, 12,951.59 and 5,193.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384.91 : 12,951.59 = 5,193.16 : x
2. Step 2: Convert to fraction form
   9,384.91/12,951.59 = 5,193.16/x
3. Step 3: Cross multiply
   9,384.91x = 12,951.59 × 5,193.16
4. Step 4: Simplify right side
   9,384.91x = 67,259,679.12
5. Step 5: Solve for x
   x = 67,259,679.12/9,384.91
6. Step 6: Final answer
   x = 7,166.79