Finding the Fourth Proportional to 5,141.25, 7,712.28 and 1,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141.25 : 7,712.28 = 1,678.50 : x
2. Step 2: Convert to fraction form
   5,141.25/7,712.28 = 1,678.50/x
3. Step 3: Cross multiply
   5,141.25x = 7,712.28 × 1,678.50
4. Step 4: Simplify right side
   5,141.25x = 12,945,061.98
5. Step 5: Solve for x
   x = 12,945,061.98/5,141.25
6. Step 6: Final answer
   x = 2,517.88