Finding the Fourth Proportional to 10,819.50, 16,235.76 and 4,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,819.50 : 16,235.76 = 4,663.50 : x
2. Step 2: Convert to fraction form
   10,819.50/16,235.76 = 4,663.50/x
3. Step 3: Cross multiply
   10,819.50x = 16,235.76 × 4,663.50
4. Step 4: Simplify right side
   10,819.50x = 75,715,466.76
5. Step 5: Solve for x
   x = 75,715,466.76/10,819.50
6. Step 6: Final answer
   x = 6,998.06