Finding the Fourth Proportional to 10,078.59, 13,914.67 and 6,494.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.59 : 13,914.67 = 6,494.81 : x
2. Step 2: Convert to fraction form
   10,078.59/13,914.67 = 6,494.81/x
3. Step 3: Cross multiply
   10,078.59x = 13,914.67 × 6,494.81
4. Step 4: Simplify right side
   10,078.59x = 90,373,137.86
5. Step 5: Solve for x
   x = 90,373,137.86/10,078.59
6. Step 6: Final answer
   x = 8,966.84