Finding the Fourth Proportional to 10,078.68, 13,909.28 and 5,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.68 : 13,909.28 = 5,830.50 : x
2. Step 2: Convert to fraction form
   10,078.68/13,909.28 = 5,830.50/x
3. Step 3: Cross multiply
   10,078.68x = 13,909.28 × 5,830.50
4. Step 4: Simplify right side
   10,078.68x = 81,098,057.04
5. Step 5: Solve for x
   x = 81,098,057.04/10,078.68
6. Step 6: Final answer
   x = 8,046.50