Finding the Fourth Proportional to 10,505.81, 15,760.96 and 5,243.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505.81 : 15,760.96 = 5,243.65 : x
2. Step 2: Convert to fraction form
   10,505.81/15,760.96 = 5,243.65/x
3. Step 3: Cross multiply
   10,505.81x = 15,760.96 × 5,243.65
4. Step 4: Simplify right side
   10,505.81x = 82,644,931.69
5. Step 5: Solve for x
   x = 82,644,931.69/10,505.81
6. Step 6: Final answer
   x = 7,866.59