Finding the Fourth Proportional to 4,196.62, 5,786.31 and 3,077.14

Step by Step Solution

1. Step 1: Write the proportion equation
   4,196.62 : 5,786.31 = 3,077.14 : x
2. Step 2: Convert to fraction form
   4,196.62/5,786.31 = 3,077.14/x
3. Step 3: Cross multiply
   4,196.62x = 5,786.31 × 3,077.14
4. Step 4: Simplify right side
   4,196.62x = 17,805,285.95
5. Step 5: Solve for x
   x = 17,805,285.95/4,196.62
6. Step 6: Final answer
   x = 4,242.77