Finding the Fourth Proportional to 5,682.69, 7,872.53 and 5,546.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682.69 : 7,872.53 = 5,546.61 : x
2. Step 2: Convert to fraction form
   5,682.69/7,872.53 = 5,546.61/x
3. Step 3: Cross multiply
   5,682.69x = 7,872.53 × 5,546.61
4. Step 4: Simplify right side
   5,682.69x = 43,665,825.89
5. Step 5: Solve for x
   x = 43,665,825.89/5,682.69
6. Step 6: Final answer
   x = 7,684.01