Finding the Fourth Proportional to 5,141.22, 7,711.83 and 1,678.47

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141.22 : 7,711.83 = 1,678.47 : x
2. Step 2: Convert to fraction form
   5,141.22/7,711.83 = 1,678.47/x
3. Step 3: Cross multiply
   5,141.22x = 7,711.83 × 1,678.47
4. Step 4: Simplify right side
   5,141.22x = 12,944,071.10
5. Step 5: Solve for x
   x = 12,944,071.10/5,141.22
6. Step 6: Final answer
   x = 2,517.70