Finding the Fourth Proportional to 10,394.55, 14,344.47 and 5,678.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,394.55 : 14,344.47 = 5,678.83 : x
2. Step 2: Convert to fraction form
   10,394.55/14,344.47 = 5,678.83/x
3. Step 3: Cross multiply
   10,394.55x = 14,344.47 × 5,678.83
4. Step 4: Simplify right side
   10,394.55x = 81,459,806.57
5. Step 5: Solve for x
   x = 81,459,806.57/10,394.55
6. Step 6: Final answer
   x = 7,836.78