Finding the Fourth Proportional to 10,730.50, 16,097.82 and 5,187.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,730.50 : 16,097.82 = 5,187.67 : x
2. Step 2: Convert to fraction form
   10,730.50/16,097.82 = 5,187.67/x
3. Step 3: Cross multiply
   10,730.50x = 16,097.82 × 5,187.67
4. Step 4: Simplify right side
   10,730.50x = 83,510,177.88
5. Step 5: Solve for x
   x = 83,510,177.88/10,730.50
6. Step 6: Final answer
   x = 7,782.51