Finding the Fourth Proportional to 10,089, 13,922.88 and 5,896.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089 : 13,922.88 = 5,896.44 : x
2. Step 2: Convert to fraction form
   10,089/13,922.88 = 5,896.44/x
3. Step 3: Cross multiply
   10,089x = 13,922.88 × 5,896.44
4. Step 4: Simplify right side
   10,089x = 82,095,426.55
5. Step 5: Solve for x
   x = 82,095,426.55/10,089
6. Step 6: Final answer
   x = 8,137.12