Finding the Fourth Proportional to 10,089, 13,922.82 and 5,897.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089 : 13,922.82 = 5,897.25 : x
2. Step 2: Convert to fraction form
   10,089/13,922.82 = 5,897.25/x
3. Step 3: Cross multiply
   10,089x = 13,922.82 × 5,897.25
4. Step 4: Simplify right side
   10,089x = 82,106,350.25
5. Step 5: Solve for x
   x = 82,106,350.25/10,089
6. Step 6: Final answer
   x = 8,138.21