Finding the Fourth Proportional to 10,820.42, 16,229.82 and 3,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820.42 : 16,229.82 = 3,800.50 : x
2. Step 2: Convert to fraction form
   10,820.42/16,229.82 = 3,800.50/x
3. Step 3: Cross multiply
   10,820.42x = 16,229.82 × 3,800.50
4. Step 4: Simplify right side
   10,820.42x = 61,681,400.53
5. Step 5: Solve for x
   x = 61,681,400.53/10,820.42
6. Step 6: Final answer
   x = 5,700.46