Finding the Fourth Proportional to 6,077.71, 9,117.78 and 2,182.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,077.71 : 9,117.78 = 2,182.42 : x
2. Step 2: Convert to fraction form
   6,077.71/9,117.78 = 2,182.42/x
3. Step 3: Cross multiply
   6,077.71x = 9,117.78 × 2,182.42
4. Step 4: Simplify right side
   6,077.71x = 19,898,825.43
5. Step 5: Solve for x
   x = 19,898,825.43/6,077.71
6. Step 6: Final answer
   x = 3,274.07