Finding the Fourth Proportional to 9,921.82, 13,692.37 and 5,673.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,921.82 : 13,692.37 = 5,673.57 : x
2. Step 2: Convert to fraction form
   9,921.82/13,692.37 = 5,673.57/x
3. Step 3: Cross multiply
   9,921.82x = 13,692.37 × 5,673.57
4. Step 4: Simplify right side
   9,921.82x = 77,684,587.32
5. Step 5: Solve for x
   x = 77,684,587.32/9,921.82
6. Step 6: Final answer
   x = 7,829.67