Finding the Fourth Proportional to 10,394.73, 14,344.56 and 5,678.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,394.73 : 14,344.56 = 5,678.91 : x
2. Step 2: Convert to fraction form
   10,394.73/14,344.56 = 5,678.91/x
3. Step 3: Cross multiply
   10,394.73x = 14,344.56 × 5,678.91
4. Step 4: Simplify right side
   10,394.73x = 81,461,465.23
5. Step 5: Solve for x
   x = 81,461,465.23/10,394.73
6. Step 6: Final answer
   x = 7,836.80