Finding the Fourth Proportional to 5,677.98, 7,834.71 and 3,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,677.98 : 7,834.71 = 3,193.50 : x
2. Step 2: Convert to fraction form
   5,677.98/7,834.71 = 3,193.50/x
3. Step 3: Cross multiply
   5,677.98x = 7,834.71 × 3,193.50
4. Step 4: Simplify right side
   5,677.98x = 25,020,146.39
5. Step 5: Solve for x
   x = 25,020,146.39/5,677.98
6. Step 6: Final answer
   x = 4,406.52