Finding the Fourth Proportional to 9,379.50, 12,944.31 and 5,188.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,379.50 : 12,944.31 = 5,188.02 : x
2. Step 2: Convert to fraction form
   9,379.50/12,944.31 = 5,188.02/x
3. Step 3: Cross multiply
   9,379.50x = 12,944.31 × 5,188.02
4. Step 4: Simplify right side
   9,379.50x = 67,155,339.17
5. Step 5: Solve for x
   x = 67,155,339.17/9,379.50
6. Step 6: Final answer
   x = 7,159.80