Finding the Fourth Proportional to 6,769.71, 9,339.62 and 4,116.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,769.71 : 9,339.62 = 4,116.15 : x
2. Step 2: Convert to fraction form
   6,769.71/9,339.62 = 4,116.15/x
3. Step 3: Cross multiply
   6,769.71x = 9,339.62 × 4,116.15
4. Step 4: Simplify right side
   6,769.71x = 38,443,256.28
5. Step 5: Solve for x
   x = 38,443,256.28/6,769.71
6. Step 6: Final answer
   x = 5,678.72