Finding the Fourth Proportional to 5,227.57, 7,841.34 and 1,764.82

Step by Step Solution

1. Step 1: Write the proportion equation
   5,227.57 : 7,841.34 = 1,764.82 : x
2. Step 2: Convert to fraction form
   5,227.57/7,841.34 = 1,764.82/x
3. Step 3: Cross multiply
   5,227.57x = 7,841.34 × 1,764.82
4. Step 4: Simplify right side
   5,227.57x = 13,838,553.66
5. Step 5: Solve for x
   x = 13,838,553.66/5,227.57
6. Step 6: Final answer
   x = 2,647.22