Finding the Fourth Proportional to 6,804.59, 9,385.82 and 4,114.05

Step by Step Solution

1. Step 1: Write the proportion equation
   6,804.59 : 9,385.82 = 4,114.05 : x
2. Step 2: Convert to fraction form
   6,804.59/9,385.82 = 4,114.05/x
3. Step 3: Cross multiply
   6,804.59x = 9,385.82 × 4,114.05
4. Step 4: Simplify right side
   6,804.59x = 38,613,712.20
5. Step 5: Solve for x
   x = 38,613,712.20/6,804.59
6. Step 6: Final answer
   x = 5,674.66