Finding the Fourth Proportional to 9,920.82, 13,692.87 and 5,942.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,920.82 : 13,692.87 = 5,942.10 : x
2. Step 2: Convert to fraction form
   9,920.82/13,692.87 = 5,942.10/x
3. Step 3: Cross multiply
   9,920.82x = 13,692.87 × 5,942.10
4. Step 4: Simplify right side
   9,920.82x = 81,364,402.83
5. Step 5: Solve for x
   x = 81,364,402.83/9,920.82
6. Step 6: Final answer
   x = 8,201.38