Finding the Fourth Proportional to 10,205, 14,082.90 and 5,789

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205 : 14,082.90 = 5,789 : x
2. Step 2: Convert to fraction form
   10,205/14,082.90 = 5,789/x
3. Step 3: Cross multiply
   10,205x = 14,082.90 × 5,789
4. Step 4: Simplify right side
   10,205x = 81,525,908.10
5. Step 5: Solve for x
   x = 81,525,908.10/10,205
6. Step 6: Final answer
   x = 7,988.82