Finding the Fourth Proportional to 5,478.42, 7,566.46 and 3,682.79

Step by Step Solution

1. Step 1: Write the proportion equation
   5,478.42 : 7,566.46 = 3,682.79 : x
2. Step 2: Convert to fraction form
   5,478.42/7,566.46 = 3,682.79/x
3. Step 3: Cross multiply
   5,478.42x = 7,566.46 × 3,682.79
4. Step 4: Simplify right side
   5,478.42x = 27,865,645.39
5. Step 5: Solve for x
   x = 27,865,645.39/5,478.42
6. Step 6: Final answer
   x = 5,086.44