Finding the Fourth Proportional to 10,735.72, 14,815.92 and 8,078.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,735.72 : 14,815.92 = 8,078.38 : x
2. Step 2: Convert to fraction form
   10,735.72/14,815.92 = 8,078.38/x
3. Step 3: Cross multiply
   10,735.72x = 14,815.92 × 8,078.38
4. Step 4: Simplify right side
   10,735.72x = 119,688,631.81
5. Step 5: Solve for x
   x = 119,688,631.81/10,735.72
6. Step 6: Final answer
   x = 11,148.64