Finding the Fourth Proportional to 9,379.95, 12,944.17 and 5,188.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,379.95 : 12,944.17 = 5,188.20 : x
2. Step 2: Convert to fraction form
   9,379.95/12,944.17 = 5,188.20/x
3. Step 3: Cross multiply
   9,379.95x = 12,944.17 × 5,188.20
4. Step 4: Simplify right side
   9,379.95x = 67,156,942.79
5. Step 5: Solve for x
   x = 67,156,942.79/9,379.95
6. Step 6: Final answer
   x = 7,159.63