Finding the Fourth Proportional to 7,836.50, 10,814.01 and 4,694.42

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836.50 : 10,814.01 = 4,694.42 : x
2. Step 2: Convert to fraction form
   7,836.50/10,814.01 = 4,694.42/x
3. Step 3: Cross multiply
   7,836.50x = 10,814.01 × 4,694.42
4. Step 4: Simplify right side
   7,836.50x = 50,765,504.82
5. Step 5: Solve for x
   x = 50,765,504.82/7,836.50
6. Step 6: Final answer
   x = 6,478.08