Finding the Fourth Proportional to 6,076.59, 9,116.31 and 2,377.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,076.59 : 9,116.31 = 2,377.82 : x
2. Step 2: Convert to fraction form
   6,076.59/9,116.31 = 2,377.82/x
3. Step 3: Cross multiply
   6,076.59x = 9,116.31 × 2,377.82
4. Step 4: Simplify right side
   6,076.59x = 21,676,975.95
5. Step 5: Solve for x
   x = 21,676,975.95/6,076.59
6. Step 6: Final answer
   x = 3,567.30