Finding the Fourth Proportional to 10,798.28, 16,198.17 and 3,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,798.28 : 16,198.17 = 3,777.50 : x
2. Step 2: Convert to fraction form
   10,798.28/16,198.17 = 3,777.50/x
3. Step 3: Cross multiply
   10,798.28x = 16,198.17 × 3,777.50
4. Step 4: Simplify right side
   10,798.28x = 61,188,587.18
5. Step 5: Solve for x
   x = 61,188,587.18/10,798.28
6. Step 6: Final answer
   x = 5,666.51