Finding the Fourth Proportional to 10,814.34, 16,222.12 and 3,023.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,814.34 : 16,222.12 = 3,023.76 : x
2. Step 2: Convert to fraction form
   10,814.34/16,222.12 = 3,023.76/x
3. Step 3: Cross multiply
   10,814.34x = 16,222.12 × 3,023.76
4. Step 4: Simplify right side
   10,814.34x = 49,051,867.85
5. Step 5: Solve for x
   x = 49,051,867.85/10,814.34
6. Step 6: Final answer
   x = 4,535.82