Finding the Fourth Proportional to 10,394, 14,343.72 and 5,678.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,394 : 14,343.72 = 5,678.30 : x
2. Step 2: Convert to fraction form
   10,394/14,343.72 = 5,678.30/x
3. Step 3: Cross multiply
   10,394x = 14,343.72 × 5,678.30
4. Step 4: Simplify right side
   10,394x = 81,447,945.28
5. Step 5: Solve for x
   x = 81,447,945.28/10,394
6. Step 6: Final answer
   x = 7,836.05