Finding the Fourth Proportional to 10,780.12, 16,171.80 and 3,853

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.12 : 16,171.80 = 3,853 : x
2. Step 2: Convert to fraction form
   10,780.12/16,171.80 = 3,853/x
3. Step 3: Cross multiply
   10,780.12x = 16,171.80 × 3,853
4. Step 4: Simplify right side
   10,780.12x = 62,309,945.40
5. Step 5: Solve for x
   x = 62,309,945.40/10,780.12
6. Step 6: Final answer
   x = 5,780.08