Finding the Fourth Proportional to 9,884.25, 13,640.27 and 5,692.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,884.25 : 13,640.27 = 5,692.41 : x
2. Step 2: Convert to fraction form
   9,884.25/13,640.27 = 5,692.41/x
3. Step 3: Cross multiply
   9,884.25x = 13,640.27 × 5,692.41
4. Step 4: Simplify right side
   9,884.25x = 77,645,980.89
5. Step 5: Solve for x
   x = 77,645,980.89/9,884.25
6. Step 6: Final answer
   x = 7,855.53