Finding the Fourth Proportional to 6,345.59, 9,514.18 and 3,382.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,345.59 : 9,514.18 = 3,382.16 : x
2. Step 2: Convert to fraction form
   6,345.59/9,514.18 = 3,382.16/x
3. Step 3: Cross multiply
   6,345.59x = 9,514.18 × 3,382.16
4. Step 4: Simplify right side
   6,345.59x = 32,178,445.20
5. Step 5: Solve for x
   x = 32,178,445.20/6,345.59
6. Step 6: Final answer
   x = 5,070.99