Finding the Fourth Proportional to 6,691.31, 10,046.16 and 3,406.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,691.31 : 10,046.16 = 3,406.61 : x
2. Step 2: Convert to fraction form
   6,691.31/10,046.16 = 3,406.61/x
3. Step 3: Cross multiply
   6,691.31x = 10,046.16 × 3,406.61
4. Step 4: Simplify right side
   6,691.31x = 34,223,349.12
5. Step 5: Solve for x
   x = 34,223,349.12/6,691.31
6. Step 6: Final answer
   x = 5,114.60